Question

Find the solution of this system of linear
equations. Separate the x- and y- values with a
comma. Enclose them in a pair of parantheses.
-20x = -88 - 17y
7x = -61 - 17y

Answer 1

Answer:

The solution is (1, -4)

Step-by-step explanation:

Given:

The pair of linear equations given are:

$-20x = -88 - 17y---1\\7x = -61 - 17y---2$

Subtracting equation (1) from equation (2), we get:

$7x-(-20x)=-61-17y-(-88-17y)\\7x+20x=-61-17y+88+17y\\27x=(-61+88)+(17y-17y)\\27x=27+0\\27x=27\\x=\frac{27}{27}=1$

Now, plug in the value of 'x' in equation (1) and solve for 'y'. This gives,

$-20(1)=-88-17y\\-20=-88-17y\\17y=-88+20\\17y=-68\\y=\frac{-68}{17}=-4$

Therefore, the solution is (1, -4)