162k views
1 vote
What is the solution for the system of equations y=x+3 and -2x+y=1?

1 Answer

4 votes

Answer:

(2, 5 )

Explanation:

given the system of equations

y = x + 3 → (1)

- 2x + y = 1 → (2)

substitute y = x + 3 into (2)

- 2x + x + 3 = 1 ( simplify left side )

- x + 3 = 1 ( subtract 3 from both sides )

- x = - 2 ( multiply both sides by - 1 )

x = 2

substitute x = 2 into (1) and solve for y

y = 2 + 3 = 5

solution is (2, 5 )

User Haradzieniec
by
7.2k points