Question

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.

Answer 1

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.