# Solve the linear system of equations. −5x −2y= 1 2x −11y=−83 (x, y) =

Question
Forms of linear equations
Solve the linear system of equations.
−5x − 2y = 1
2x − 11y = −83
(x, y) =

2021-02-28
consider the given equations
-5x-2y=1----(1)
2x-11y=-83---(2)
Multiply in equation (1)by(2) and multiply in equation (2)by 5
2(-5x-2y)=1---(2)
-10x-4y=2---(3)
and
5(2x-11y)=-83(5)
10x-55y=-415(4)
-10x-4y+10x-55y=2-415
-59y=-413
$$y=(413)/(59)$$
=7
put value of y=7 in equation(1)
-5x-2(7)=1
-5x-14=1
-5x=1+14|
-5x=15
x=-3

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$$\left\{\begin{matrix} 3x−y=1 \\ 2x+3y=8 \end{matrix}\right\}$$