January 2026

Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ \sqrt{2}x – \sqrt{3}y = 0, \\ \sqrt{3}x – \sqrt{8}y = 0 \] Solution Step 1: Express One Variable in Terms of the Other From the first equation: \[ \sqrt{2}x – \sqrt{3}y = 0 \] \[ \sqrt{2}x […]

Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ x + 2y = \frac{3}{2}, \\ 2x + y = \frac{3}{2} \] Solution Step 1: Express One Variable in Terms of the Other From the first equation: \[ x + 2y = \frac{3}{2} \] \[ x

Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ x + \frac{y}{2} = 4, \\ \frac{x}{3} + 2y = 5 \] Solution Step 1: Remove Fractions Multiply the first equation by 2: \[ 2x + y = 8 \quad \text{(1)} \] Multiply the second equation

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 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 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 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 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 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 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