192k views
1 vote
What would be my steps to solving this problem: x-2y=10

x+3y=5

User Tiru
by
4.6k points

1 Answer

2 votes

Answer:

(8, - 1 )

Explanation:

One way is as follows

Given the 2 equations

x - 2y = 10 → (1)

x + 3y = 5 → (2)

Subtracting (2) from (1) term by term will eliminate the x- term

(x - x) + (- 2y - 3y) = (10 - 5), that is

- 5y = 5 ( divide both sides by - 5 )

y = - 1

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

Substituting y = - 1 into (2)

x + 3(- 1) = 5, that is

x - 3 = 5 ( add 3 to both sides )

x = 8

Solution is (8, - 1 )

User Sean P
by
4.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.