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Solve for x and y if ({smallmatrix}2x + y x - 3y {smallmatri

Question

Solve for x and y if $(2 x + y x - 3 y) = (513)$

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Solve for x and y if

(2 x + y x - 3 y) = (513)

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Text solutionVerified

[2 x + y x - 3 y] = [513]

Comparing both sides, we get

\Rightarrow 2 x + y = 5 \to (1)

\Rightarrow x - 3 y = 13 \to (2)

Multiplying second equation by

2

&

subtracting from

(1),

we get

2 x + y = 5 \underline{x - 3 y = 13 - - -} 4 y = - 8

\Rightarrow y = - 2

Put

y = - 2

in equation

(1),

we get

\Rightarrow 2 x - 2 = 5

\Rightarrow 2 x = 7

\Rightarrow x = \frac{7}{2}

Hence, the answer is

x = \frac{7}{2}, y = - 2.

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