Question

Solve system by elimination 9x + 3y = 24 10x - 2y = 0

Answer 1

Answer:

(1, 5 )

Step-by-step explanation:

Given the 2 equations

9x + 3y = 24 → (1)

10x - 2y = 0 → (2)

Multiplying (1) by 2 and (2) by 3 and adding the result will eliminate the y- term

18x + 6y = 48 → (3)

30x - 6y = 0 → (4)

Add (3) and (4) term by term to eliminate y

48x + 0 = 48

48x = 48 ( divide both sides by 48 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (1)

9(1) + 3y = 24

9 + 3y = 24 ( subtract 9 from both sides )

3y = 15 ( divide both sides by 3 )

y = 5

solution is (1, 5 )