Question

solve the equation 2x =5y + 4 ; 3x - 2y = 16 by cross multiplication method.​

Answer 1

Answer:

$x = - 8 \\ y = \frac{ - 20}{11}$

Explanation:

$\frac{x}{b1c2 - (c1b2)} = \frac{y}{a1c2 - (c1a2)} = \frac{1}{a1b2 - (b1a2)}$

$\frac{x}{5( - 16) - (4 \times - 2)} = \frac{y}{ - 2 \times - 16 - (4 \times 3)} = \frac{1}{ - 2 \times - 2 - ( 5\times 3)}$

$\frac{x}{80 + 8} = \frac{y}{32 - 12} = \frac{1}{ - 11}$

$\frac{x}{88} = \frac{y}{20} = \frac{ - 1}{11}$

let $\frac{x}{88} = \frac{ - 1}{11} \\ x = \frac{ - 88}{11} \\ x = - 8$

$let \: \frac{y}{20} = \frac{ - 1}{11} \\ y = \frac{ - 20}{11}$

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