Solve the system using elimination.
x-3y = -2
2x-3y = -7

(- 5, - 1 )

Step-by-step explanation:

Given the 2 equations

x - 3y = - 2 → (1)

2x - 3y = - 7 → (2)

Multiplying (2) by - 1 and adding to (1) eliminates the term in y

- 2x + 3y = 7 → (3)

Add (1) and (3) term by term

(x - 2x) + (- 3y + 3y) = (- 2 + 7) and simplifying gives

- x = 5 ( multiply both sides by - 1)

x = - 5

Substitute x = - 5 into (1) or (2) for corresponding value of y

Substituting in (1) gives

- 5 - 3y = - 2 ( add 5 to both sides )

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

y = - 1

Solution is (- 5, - 1 )

30

step-by-step explanation:

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