Pairs of Linear Equations in Two Variables Exercise 3.2 Solutions
Solve the following systems of equations graphically: x+y=3, 2x+5y=12 Watch Solution
Solve the following systems of equations graphically: x – 2y = 5, 2x + 3y = 10 Watch Solution
Solve the following systems of equations graphically:2x + y – 3 = 0, 2x – 3y – 7 = 0 Watch Solution
Solve the following systems of equations graphically: 3x + y + 1 = 0, 2x – 3y + 8 = 0 Watch Solution
Solve the following systems of equations graphically: x – y +,1 =0, 3x +2y – 12 = 0 Watch Solution
Solve the following systems of equations graphically: x – 2y = 6, 3x – 6y = 0 Watch Solution
Solve the following systems of equations graphically: x + y = 4, 2x – 3y = 3 Watch Solution
Solve the following systems of equations graphically: 2x + 3y = 4, x – y + 3 = 0 Watch Solution
Solve the following systems of equations graphically: 2x – 3y +13 = 0, 3x – 2y + 12 = 0 Watch Solution
Solve the following systems of equations graphically : 2x + 3y + 5 = 0, 3x – 2y – 12 = 0 Watch Solution
Show graphically that the system of equations has infinitely many solutions : 2x+3y=6, 4x+6y=12 Watch Solution
Show graphically that the system of equations has infinitely many solutions : x-2y=5, 3x-6y=15 Watch Solution
Show graphically that the system of equations has infinitely many solutions : 3x+y=8, 6x+2y=16 Watch Solution
Show graphically that the system of equations has infinitely many solutions : x-2y+11=0, 3x-6y+33=0 Watch Solution
Show graphically the system of equations is inconsistent (i.e. has no solution): 3x-5y=20, 6x-10y=-40 Watch Solution
Show graphically the system of equations is inconsistent (i.e. has no solution): x-2y=6, 3x-6y=0 Watch Solution
Show graphically the system of equations is inconsistent (i.e. has no solution): 2y-x=9, 6y-3x=21 Watch Solution
Show graphically the system of equations is inconsistent (i.e. has no solution): 3x-4y-1=0, 2x-8/3y+5=0 Watch Solution
Determine graphically the vertices of the triangle, the equations of whose sides are given below: 2y-x=8, 5y-x=14 and y-2x=1 Watch Solution
Determine graphically the vertices of the triangle, the equations of whose sides are given below: y=x, y=0 and 3x+3y=10 Watch Solution
Determine, graphically whether the system of equations is x-2y=2,4x-2y=5 consistent or inconsistent. Watch Solution
Determine, by drawing graphs, whether the following system of linear equations has a unique solution or not: 2x-3y=6, x+y=1 Watch Solution
Determine, by drawing graphs, whether the following system of linear equations has a unique solution or not: 2y=4x-6, 2x=y+3 Watch Solution
Solve graphically the systems of linear equations. Also find the coordinates of the points where the lines meet axis of y : 2x-5y+4=0, 2x+y-8=0 Watch Solution
Solve graphically the systems of linear equations. Also find the coordinates of the points where the lines meet axis of y : 3x+2y=12, 5x-2y=4 Watch Solution
Solve graphically the systems of linear equations. Also find the coordinates of the points where the lines meet axis of y : 2x+y-11=0, x-y-1=0 Watch Solution
Solve graphically the systems of linear equations. Also find the coordinates of the points where the lines meet axis of y : x+2y-7=0, 2x-y-4=0 Watch Solution
Solve graphically the systems of linear equations. Also find the coordinates of the points where the lines meet axis of y : 3x+y-5=0, 2x-y-5=0 Watch Solution
Solve graphically the systems of linear equations. Also find the coordinates of the points where the lines meet axis of y : 2x-y-5=0, x-y-3=0 Watch Solution
Solve the following system of linear equations graphically and shade the region between the two lines and x-axis : 2x +3y = 12, x-y = 1 Watch Solution
Solve the following system of linear equations graphically and shade the region between the two lines and x-axis : 3x +2y- 4 = 0, 2x- 3y- 7 = 0 Watch Solution
Solve the following system of linear equations graphically and shade the region between the two lines and x-axis : 3x +2y – 11 = 0, 2x- 3y + 10 = 0 Watch Solution
Draw the graphs of the following equations on the same graph paper: 2x+3 y=12, x-y=1. Find the coordinates of the vertices of the triangle formed by the two straight lines and the y -axis. Watch Solution
Draw the graphs of the equations 5x-y=5 and 3x-y=3. Determine the coordinates of the vertices of the triangle formed by these lines and y -axis. Calculate the area of the triangle so formed. Watch Solution
Form the pair of linear equations in the following problems, and find their solution graphically: (i) 10 students of class X took part in Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz. Watch Solution
Form the pair of linear equations in the following problems, and find their solution graphically: 5 pencils and 7 pens together cost Rs. 50, whereas 7 pencils and 5 pens together cost Rs. 46 . Find the cost of one pencil and a pen. Watch Solution
Form the pair of linear equations in the following problems, and find their solution graphically: Champa went to a ‘sale’ to purchase some pants and skirts. When her friends asked her how many of each she had bought, she answered, “The number of skirts is two less than twice the number of pants purchased. Also, the number of skirts is four less than four times the number of pants purchased.” Help her friends to find how many pants and skirts Champa bought. Watch Solution
Solve the following system of equations graphically: 3x-4y=7, 5x+2y=3 Shade the region between the lines and the y -axis. Watch Solution
Solve the following system of equations graphically: 4x – y = 4, 3x+ 2y = 14 Shade the region between the lines and the y -axis. Watch Solution
Represent the following pair of equations graphically and write the coordinates of points where the lines intersects y -axis: x+3y=6, 2x-3y=12 Watch Solution
Given the linear equation 2x+3y-8=0, write another linear equation in two variables such that the geometrical representation of the pair so formed is (i) intersecting lines (ii) Parallel lines (iii) coincident lines Watch Solution
Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are: y=x, y=2x and y+x=6 Watch Solution
Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are: y=x, 3y=x, x+y=8 Watch Solution
Draw the graphs of the equations 5x-y=5 and 3x-y=3. Determine the coordinates of the vertices of the triangle formed by these lines and y -axis. Calculate the area of the triangle so formed. Watch Solution
Form the pair of linear equations in the following problems, and find their solution graphically: (i) 10 students of class X took part in Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz. Watch Solution
Form the pair of linear equations in the following problems, and find their solution graphically: 5 pencils and 7 pens together cost Rs. 50, whereas 7 pencils and 5 pens together cost Rs. 46 . Find the cost of one pencil and a pen. Watch Solution
Form the pair of linear equations in the following problems, and find their solution graphically: Champa went to a ‘sale’ to purchase some pants and skirts. When her friends asked her how many of each she had bought, she answered, “The number of skirts is two less than twice the number of pants purchased. Also, the number of skirts is four less than four times the number of pants purchased.” Help her friends to find how many pants and skirts Champa bought. Watch Solution
Solve the following system of equations graphically: 3x-4y=7, 5x+2y=3 Shade the region between the lines and the y -axis. Watch Solution
Solve the following system of equations graphically: 4x – y = 4, 3x+ 2y = 14 Shade the region between the lines and the y -axis. Watch Solution
Represent the following pair of equations graphically and write the coordinates of points where the lines intersects y -axis: x+3y=6, 2x-3y=12 Watch Solution
Given the linear equation 2x+3y-8=0, write another linear equation in two variables such that the geometrical representation of the pair so formed is (i) intersecting lines (ii) Parallel lines (iii) coincident lines Watch Solution
Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are: y=x, y=2x and y+x=6 Watch Solution
Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are: y=x, 3y=x, x+y=8 Watch Solution
Graphically , solve the following pair of equations 2x+y=6 and 2x-y+2=0 find the ratio of the areas of the two triangles formed by the lines representing these equations with equations with the x−axis and the lines with the y−axis Watch Solution
Determine, graphically , the vertices of the triangles formed by the lines y= x, 3y= x, x + y =8 Watch Solution
Draw the graph of the equations x= 3, x= 5 and 2x- y – 4 = 0. Also, find the area of the quadrilateral formed by the lines and the x-axis. Watch Solution
Draw the graphs of the lines x= -2 and y= 3. Write the vertices of the figure formed by these lines, the x-axis and y-axis. Also, find the area of the figure. Watch Solution
Draw the graphs of the pair of linear equations : x- y + 2 = 0 and 4x- y – 4= 0. Calculate the area of the triangles formed by the lines so drawn and the x-axis. Watch Solution
Pair of Linear Equations in Two Variables – R.D. Sharma Class 10th Math
