Question

Solve the system by substitution. 2x=y-10 2x+7=2y The solution is ( , ).

Answer 1

Explanation:

2x=y-10

2x+7=2y

====

2x=y-10

x = (y-10)/2

Use this in the 2nd equation:

2x+7=2y

2((y-10)/2)+7=2y

y - 10 + 7 = 2y

-y -3 = 0

-y = 3

y = -3

Use this in either equation:

2x=y-10

2x=(-3)-10

x = -(13/2) or - 6.5

(-6.5, -3)

See attached graph.