Question

Use the linear combination method to solve the system of equations. explain each step of your solution. 2x-3y=13

Answer 1

Answer:

(- 4, - 7)

Step-by-step explanation:

given the 2 equations

2x - 3y = 13 → (1)

4x - y = - 9 → (2)

multiply all terms in (2) by - 3

- 12x + 3y = 27 → (3)

Add (1) and (3) term by term

(2x - 12x) + (- 3y + 3y) = (13 + 27)

- 10x = 40 ( divide both sides by - 10 )

x = - 4

Substitute x = - 4 in either (1) or (2) for corresponding value of y

(1) : - 8 - 3y = 13 ( add 8 to both sides )

- 3y = 21 ( divide both sides by - 3 )

y = - 7

Solution is (- 4, - 7 )