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3 years ago

Solve the system of equations using elimination 2x + y = 5 -1x + y = 2

Mathematics

1 answer:

telo118 [61]3 years ago

3 0

Answer:

(1, 3 )

Step-by-step explanation:

Given the 2 equations

2x + y = 5 → (1)

- x + y = 2 → (2)

Rearrange (1) expressing y in terms of x by subtracting 2x fro both sides

y = 5 - 2x → (3)

Substitute y = 5 - 2x into (2)

- x + 5 - 2x = 2

- 3x + 5 = 2 ( subtract 5 from both sides )

- 3x = - 3 ( divide both sides by - 3 )

x = 1

Substitute x = 1 into (3) for corresponding value of y

y = 5 - 2(1) = 5 - 2 = 3

solution is (1, 3 )

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