Question

What is the solution of the system y = 2x + 4 and y = 8x + 10

Answer 1

x=-1

Explanation:

y=2x+4

y=8x+10

y is = to both so use them together...

2x+4=8x+10

solve...

-2x both sides

4=6x+10

-10 both sides

-6=6x

divide by 6 both sides

x=-1

Answer 2

The solution is (-1,2)

EXPLANATION

The system is:

y = 2x + 4

and

y = 8x + 10

Equate the two:

2x + 4 =8x + 10

Group similar terms:

8x-2x=4-10

Combine similar terms,

6x=-6

Divide both sides by 6.

x=-1

This implies that ,

y=2(-1)+4

y=2

The solution is (-1,2)