Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ \frac{3}{x} – \frac{1}{y} = -9, \\ \frac{2}{x} + \frac{3}{y} = 5 \] Solution Step 1: Make Suitable Substitution Let \[ \frac{1}{x} = a,\quad \frac{1}{y} = b \] Then the given equations become: \[ 3a – b […]
Solve the following systems of equations: 3/x – 1/y = -9, 2/x + 3/y = 5 Read More »
Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ \frac{15}{u} + \frac{2}{v} = 17, \\ \frac{1}{u} + \frac{1}{v} = \frac{36}{5} \] Solution Step 1: Make Suitable Substitution Let \[ \frac{1}{u} = a,\quad \frac{1}{v} = b \] Then the given equations become: \[ 15a + 2b
Solve the following systems of equations: 15/u + 2/v = 17 , 1/u + 1/v = 36/5 Read More »
Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ \frac{1}{2x} + \frac{1}{3y} = 2, \\ \frac{1}{3x} + \frac{1}{2y} = \frac{13}{6} \] Solution Step 1: Make Suitable Substitution Let \[ \frac{1}{x} = a,\quad \frac{1}{y} = b \] Then the given equations become: \[ \frac{a}{2} + \frac{b}{3}
Solve the following systems of equations:1/(2x) + 1/(3y) = 2, 1/(3x) + 1/(2y) = 13/6 Read More »
Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ \frac{1}{7x} + \frac{1}{6y} = 3, \\ \frac{1}{2x} – \frac{1}{3y} = 5 \] Solution Step 1: Make Suitable Substitution Let \[ \frac{1}{x} = a,\quad \frac{1}{y} = b \] Then the given equations become: \[ \frac{a}{7} + \frac{b}{6}
Solve the following systems of equations : 1/(7x) + 1/(6y) = 3, 1/(2x) – 1/(3y) = 5 Read More »
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 »