Question

5. Solve the system: x + 3y = -5 5x - 2y = 9

Answer 1

Answer:

(1, - 2 )

Step-by-step explanation:

x + 3y = - 5 → (1)

5x - 2y = 9 → (2)

multiplying (1) by - 5 and adding to (2) will eliminate x

- 5x - 15y = 25 → (3)

add (2) and (3) term by term to eliminate x

0 - 17y = 34

- 17y = - 34 ( divide both sides by - 17 )

y = - 2

substitute y = - 2 into either of the 2 equations and solve for x

substituting into (1)

x + 3(- 2) = - 5

x - 6 = - 5 ( add 6 to both sides )

x = 1

solution is (1, - 2 )

Answer 2

Answer:

Step-by-step explanation:

x=1

y= -2

See step by step explanation below: