Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ 0.5x + 0.7y = 0.74, \\ 0.3x + 0.5y = 0.5 \] Solution Step 1: Remove Decimals Multiply both equations by 10: \[ 5x + 7y = 7.4 \quad \text{(1)} \] \[ 3x + 5y = […]
Solve the following systems of equations : 0.5 x+0.7 y=0.74 , 0.3 x+0.5 y=0.5 Read More »
Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations, where \(y \ne 0\): \[ 2x – \frac{3}{y} = 9, \\ 3x + \frac{7}{y} = 2 \] Solution Step 1: Express One Variable in Terms of the Other From the first equation: \[ 2x – \frac{3}{y} =
Solve the following systems of equations: 2x – 3/y = 9, 3x + 7/y = 2,y≠0 Read More »
Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ 3x – \frac{y+7}{11} + 2 = 10, \\ 2y + \frac{x+11}{7} = 10 \] Solution Step 1: Simplify Both Equations First equation: \[ 3x – \frac{y+7}{11} + 2 = 10 \] \[ 3x – \frac{y+7}{11} =
Solve the following systems of equations: 3x- (y+7)/11 +2=10, 2y + (x+11)/7 =10 Read More »
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 following systems of equations: √2x – √3y = 0, √3x – √8y = 0 Read More »
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 following systems of equations: x + 2y = 3/2, 2x + y = 3/2 Read More »
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 following systems of equations: x + y/2 = 4, x/3 + 2y = 5 Read More »
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 »