Solve using cross multiplication

5x − 3y = 26

4x + 2y = 34

(-7,-3)

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(7,3)

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(7,-3)

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(-7,3)

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Solution

The correct option is B
(7,3)

Given equations-

5x − 3y = 26

4x + 2y = 34

$a_{1} = 5, b_{1} = - 3, c_{1} = - 26$ and $a_{2} = 4, b_{2} = 2, c_{2} = - 34$

x y 1

-3 -26 5 -3

2 -34 4 2

we have $\frac{x}{b_{1} c_{2} - b_{2} c_{1}}$ = $\frac{y}{c_{1} a_{2} - a_{2} c_{1}}$ = $\frac{1}{a_{1} b_{2} - b_{2} a_{1}}$

$\Rightarrow$ $\frac{x}{102 + 52}$ = $\frac{y}{- 104 + 170}$ = $\frac{1}{10 + 12}$

$\Rightarrow$ $\frac{x}{154}$ = $\frac{y}{66}$ = $\frac{1}{22}$

$\Rightarrow$ $\frac{x}{154}$ = $\frac{1}{22}$ $\Rightarrow$ x = 7

$\Rightarrow$ $\frac{y}{66}$ = $\frac{1}{22}$ $\Rightarrow$ y = 3

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