Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ 21x + 47y = 110 \quad (1) \] \[ 47x + 21y = 162 \quad (2) \] Solution Step 1: Express One Variable in Terms of the Other From equation (1): \[ 21x = 110 – […]

Solve the System of Linear Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ x – y + z = 4 \quad (1) \] \[ x + y + z = 2 \quad (2) \] \[ 2x + y – 3z = 0 \quad (3) \] Solution Step 1:

Solve the System of Linear Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ x – y + z = 4 \quad (1) \] \[ x – 2y + 3z = 9 \quad (2) \] \[ 2x + y + 3z = 1 \quad (3) \] Solution Step 1:

Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ 23x – 29y = 98, \\ 29x – 23y = 110 \] Solution Step 1: Express One Variable in Terms of the Other Subtract the first equation from the second: \[ (29x – 23y) – (23x

Solve the System of Linear Equations Using Elimination Method Video Explanation Watch the video below to understand the complete solution step by step: Solution Question: Solve the following system of equations: 99x + 101y = 499  …… (1) 101x + 99y = 501  …… (2) Step 1: Subtract Equation (1) from Equation (2) (101x +

Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ 152x – 378y = -74, \\ -378x + 158y = -604 \] Solution Step 1: Express One Variable in Terms of the Other From the first equation: \[ 152x – 378y = -74 \] \[ 152x

Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ \frac{7x-2y}{xy} = 5, \\ \frac{8x+7y}{xy} = 15 \] Solution Step 1: Simplify the Equations First equation: \[ \frac{7x}{xy} – \frac{2y}{xy} = 5 \] \[ \frac{7}{y} – \frac{2}{x} = 5 \quad \text{(1)} \] Second equation: \[ \frac{8x}{xy}

Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ \frac{1}{3x+y} + \frac{1}{3x-y} = \frac{3}{4}, \\ \frac{1}{2}(3x+y) – \frac{1}{2}(3x-y) = -\frac{1}{8} \] Solution Step 1: Simplify the Second Equation \[ \frac{1}{2}\big[(3x+y) – (3x-y)\big] = -\frac{1}{8} \] \[ \frac{1}{2}(2y) = -\frac{1}{8} \] \[ y = -\frac{1}{8} \quad

Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ \frac{10}{x+y} + \frac{2}{x-y} = 4, \\ \frac{15}{x+y} – \frac{9}{x-y} = -2 \] Solution Step 1: Make Suitable Substitution Let \[ \frac{1}{x+y} = a,\quad \frac{1}{x-y} = b \] Then the given equations become: \[ 10a + 2b

Solve the System of Equations by the Substitution Method Video Explanation Question Solve the following system of equations: \[ \frac{5}{x-1} + \frac{1}{y-2} = 2, \\ \frac{6}{x-1} – \frac{3}{y-2} = 1 \] Solution Step 1: Make Suitable Substitution Let \[ \frac{1}{x-1} = a,\quad \frac{1}{y-2} = b \] Then the given equations become: \[ 5a + b