Graph the system of linear equations. - 3y = x+5 and y = 2x+2. u X y The solution to the system is 4 -8 14 -4 -8 Draw Click or tap the graph to plot a point.

Question

asked Sep 7, 2022 157k views

1 Answer

Dwkd · Answer 1 · 2022-09-14T05:57:30+0000

Explanation:

Given system of equations are :

-3y = x+5 ....(1)

y = 2x+2 ...(2)

We need to find the solution of the equations.

Multiply equation (2) by 2.

-6y = 2x+10 ...(3)

Subtract equation (2) and (3).

y-(-6y)= 2x+2-(2x+10)

7y=2x+2-2x-10

7y=-8

y = 8/7

Put the value of y in equation (2)

$(8)/(7)=2x+2\\\\(8)/(7)-2=2x\\\\x=((-6)/(7))/(2)\\\\x=(-3)/(7)$

Hence, this is the required solution.