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

Step-by-step 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)

$\dfrac{8}{7}=2x+2\\\\\dfrac{8}{7}-2=2x\\\\x=\dfrac{\dfrac{-6}{7}}{2}\\\\x=\dfrac{-3}{7}$

Hence, this is the required solution.