Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ \frac{4}{x} + 3y = 8, \\ \frac{6}{x} – 4y = -5 \] Solution Step 1: Express One Variable in Terms of the Other From the first equation: \[ \frac{4}{x} + 3y = 8 \] \[ 3y […]
Solve the following systems of equations:4/x + 3y = 8, 6/x – 4y = -5 Read More »
Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ \frac{x}{3} + \frac{y}{4} = 11, \\ \frac{5x}{6} – \frac{y}{3} = -7 \] Solution Step 1: Remove Fractions Multiply the first equation by 12: \[ 4x + 3y = 132 \quad \text{(1)} \] Multiply the second equation
Solve the following systems of equations: x/3 + y/4 = 11, 5x/6 – y/3 = -7 Read More »
Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ \frac{x}{7} + \frac{y}{3} = 5, \\ \frac{x}{2} – \frac{y}{9} = 6 \] Solution Step 1: Remove Fractions Multiply the first equation by 21: \[ 3x + 7y = 105 \quad \text{(1)} \] Multiply the second equation
Solve the following systems of equations: x/7 + y/3 = 5, x/2 – y/9 = 6 Read More »
Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ 7(y+3) – 2(x+2) = 14, \\ 4(y-2) + 3(x-3) = 2 \] Solution Step 1: Simplify Both Equations First equation: \[ 7(y+3) – 2(x+2) = 14 \] \[ 7y + 21 – 2x – 4 =
Solve the following systems of equations: 7(y+3)-2(x+2)=14, 4(y-2)+3(x-3)=2 Read More »
Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ \frac{x}{2} + y = 0.8, \\ \frac{7}{x + \frac{y}{2}} = 10 \] Solution Step 1: Remove Fractions From the first equation: \[ \frac{x}{2} + y = 0.8 \] Multiply both sides by 10: \[ 5x +
Solve the following systems of equations: x/2 +y=0.8, 7/(x + y/2) =10 Read More »
Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations by the substitution method: \[ 0.4x + 0.3y = 1.7, \\ 0.7x – 0.2y = 0.8 \] Solution Step 1: Remove Decimals Multiply both equations by 10: \[ 4x + 3y = 17 \quad \text{(1)} \] \[
Solve the following systems of equations: 0.4x+0.3y=1.7, 0.7x-0.2y=0.8 Read More »
Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations by the substitution method: \[ 3x – 7y + 10 = 0, \\ y – 2x – 3 = 0 \] Solution Step 1: Write the Equations in Standard Form \[ 3x – 7y = -10 \quad
Solve the following systems of equations: 3x-7y+10=0, y-2x-3=0 Read More »
Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations by the substitution method: \[ 11x + 15y + 23 = 0 \\ , 7x – 2y – 20 = 0 \] Solution Step 1: Write the Equations in Standard Form \[ 11x + 15y = -23
Solve the following systems of equations: 11x+15y+23=0, 7x-2y-20=0 Read More »
Graphical Solution and Area of Triangles with the X-Axis Video Explanation Question Draw the graphs of the pair of linear equations: \[ x – y + 2 = 0 \] \[ 4x – y – 4 = 0 \] Calculate the area of the triangles formed by the lines so drawn and the x-axis. Solution
Graph of Lines and Area of the Figure Formed Video Explanation Question 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. Solution Step 1: Description of the Given Lines The