Educational

Solve the following system of equations graphically: 3x-4y=7, 5x+2y=3 Shade the region between the lines and the y -axis.

Graphical Solution, Shaded Region and Area Video Explanation Question Solve the following system of equations graphically and shade the region between the lines and the y-axis: \[ 3x – 4y = 7 \] \[ 5x + 2y = 3 \] Solution Step 1: Write Both Equations in the Form \(y = mx + c\) Equation […]

Solve the following system of equations graphically: 3x-4y=7, 5x+2y=3 Shade the region between the lines and the y -axis. Read More »

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.

Formation and Graphical Solution of Linear Equations Video Explanation Question Champa went to a sale to purchase some pants and skirts. She said that 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. Find

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. Read More »

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.

Formation and Graphical Solution of Linear Equations Video Explanation Question 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 one pen. Solution Step 1: Let the Variables Be Let the cost of one pencil = \(x\) rupees Let

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. Read More »

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.

Formation and Graphical Solution of Linear Equations Video Explanation Question 10 students of class X took part in a 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. Solution Step 1: Let the Variables Be Let

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. Read More »

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.

Graph of Linear Equations and Area of the Triangle Video Explanation Question Draw the graphs of the equations and determine the coordinates of the vertices of the triangle formed by these lines and the y-axis. Also find the area of the triangle: \[ 5x – y = 5 \] \[ 3x – y = 3

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. Read More »

Solve the following system of linear equations graphically: 4x-5y-20=0 3x+5y-15=0 Determine the vertices of the triangle formed by the lines representing the above equation and the y -axis.

Graphical Solution and Triangle Formed with the Y-Axis Video Explanation Question Solve the following system of linear equations graphically and determine the coordinates of the vertices of the triangle formed by these lines and the y-axis: \[ 4x – 5y – 20 = 0 \] \[ 3x + 5y – 15 = 0 \] Solution

Solve the following system of linear equations graphically: 4x-5y-20=0 3x+5y-15=0 Determine the vertices of the triangle formed by the lines representing the above equation and the y -axis. Read More »

Solve the following system of equations graphically: 2x-3y+6=0, 2x+3y-18=0 Also, find the area of the region bounded by these two lines and y -axis.

Graphical Solution and Area with Y-Axis Video Explanation Question Solve the following system of linear equations graphically and find the area of the region bounded by these two lines and the y-axis: \[ 2x – 3y + 6 = 0 \] \[ 2x + 3y – 18 = 0 \] Solution Step 1: Write Both

Solve the following system of equations graphically: 2x-3y+6=0, 2x+3y-18=0 Also, find the area of the region bounded by these two lines and y -axis. Read More »

Draw the graphs of the following equations: 2x-3y+6=0, 2x+3y-18=0, y-2=0 Find the vertices of the triangle so obtained. Also, find the area of the triangle.

Graphs of Linear Equations and Area of the Triangle Video Explanation Question Draw the graphs of the following equations and find the vertices of the triangle so obtained. Also find the area of the triangle: \[ 2x – 3y + 6 = 0 \] \[ 2x + 3y – 18 = 0 \] \[ y

Draw the graphs of the following equations: 2x-3y+6=0, 2x+3y-18=0, y-2=0 Find the vertices of the triangle so obtained. Also, find the area of the triangle. Read More »

Solve graphically the system of linear equations. Also, find the coordinates of the points where the lines meet the axis of x in each system:​ 2x + 3y = 8, x- 2y = -3

Graphical Solution of a Pair of Linear Equations Video Explanation Question Solve graphically the following system of linear equations. Also find the coordinates of the points where the lines meet the x-axis: \[ 2x + 3y = 8 \] \[ x – 2y = -3 \] Solution Step 1: Write Both Equations in the Form

Solve graphically the system of linear equations. Also, find the coordinates of the points where the lines meet the axis of x in each system:​ 2x + 3y = 8, x- 2y = -3 Read More »

Solve graphically the system of linear equations. Also, find the coordinates of the points where the lines meet the axis of x in each system:​ x + 2y = 5, 2x- 3y = -4

Graphical Solution of a Pair of Linear Equations Video Explanation Question Solve graphically the following system of linear equations. Also find the coordinates of the points where the lines meet the x-axis: \[ x + 2y = 5 \] \[ 2x – 3y = -4 \] Solution Step 1: Write Both Equations in the Form

Solve graphically the system of linear equations. Also, find the coordinates of the points where the lines meet the axis of x in each system:​ x + 2y = 5, 2x- 3y = -4 Read More »