Solve the System of Equations by the Method of Cross-Multiplication Video Explanation Question Solve the following system of equations by the method of cross-multiplication: \[ \frac{x}{a} + \frac{y}{b} = 2, \\ ax – by = a^2 – b^2 \] Solution Step 1: Reduce to Linear Equations Multiply the first equation by \(ab\): \[ bx + […]

Solve the System of Equations by the Method of Cross-Multiplication Video Explanation Question Solve the following system of equations by the method of cross-multiplication: \[ \frac{57}{x+y} + \frac{6}{x-y} = 5,\quad \frac{38}{x+y} + \frac{21}{x-y} = 9 \] Solution Step 1: Substitute Variables Let \[ \frac{1}{x+y} = u,\quad \frac{1}{x-y} = v \] Then the given equations become:

Solve the System of Equations by the Method of Cross-Multiplication Video Explanation Question Solve the following system of equations by the method of cross-multiplication (where \(x \neq 0\) and \(y \neq 0\)): \[ \frac{2}{x} + \frac{3}{y} = 13,\quad \frac{5}{x} – \frac{4}{y} = -2 \] Solution Step 1: Substitute Variables Let \[ \frac{1}{x} = u,\quad \frac{1}{y}

Solve the System of Equations by the Method of Cross-Multiplication Video Explanation Question Solve the following system of equations by the method of cross-multiplication (where \(x \neq 0\) and \(y \neq 0\)): \[ \frac{5}{x+y} – \frac{2}{x-y} = -1, \quad \frac{15}{x+y} + \frac{7}{x-y} = 10 \] Solution Step 1: Substitute Variables Let \[ \frac{1}{x+y} = u,

Solve the System of Equations by the Method of Cross-Multiplication Video Explanation Question Solve the following system of equations by the method of cross-multiplication: \[ ax + by = a^2 \\ , bx + ay = b^2 \] Solution Step 1: Compare with the Standard Form The standard form is: \[ a_1x + b_1y =

Solve the System of Equations by the Method of Cross-Multiplication Video Explanation Question Solve the following system of equations by the method of cross-multiplication: \[ x + ay = b \\ , ax – by = c \] Solution Step 1: Compare with the Standard Form The standard form is: \[ a_1x + b_1y =

Solve the System of Equations by the Method of Cross-Multiplication Video Explanation Question Solve the following system of equations by the method of cross-multiplication: \[ ax + by = a – b \\ , bx – ay = a + b \] Solution Step 1: Compare with the Standard Form The standard form is: \[

Solve the System of Equations by the Method of Cross-Multiplication Video Explanation Question Solve the following system of equations by the method of cross-multiplication: \[ \frac{x+y}{xy} = 2,\quad \frac{x-y}{xy} = 6 \] Solution Step 1: Simplify the Equations Multiply both equations by \(xy\): \[ x + y = 2xy \quad \text{(1)} \] \[ x –

Solve the System of Equations by the Method of Cross-Multiplication Video Explanation Question Solve the following system of equations by the method of cross-multiplication: \[ 2x – y = 6 \\ , x – y = 2 \] Solution Step 1: Compare with the Standard Form The standard form is: \[ a_1x + b_1y =

Solve the System of Equations by the Method of Cross-Multiplication Video Explanation Question Solve the following system of equations by the method of cross-multiplication: \[ 2x + y = 35 \\ , 3x + 4y = 65 \] Solution Step 1: Compare with Standard Form The standard form is: \[ a_1x + b_1y = c_1