Question

A system of two linear equations with two variables is

shown below.
2x + y = 7
3x - 4y = 5
Which answer is the solution to the system of linear
equations?

Answer 1

x = 3, y = 1

Explanation:

Given the 2 equations

2x + y = 7 → (1)

3x - 4y = 5 → (2)

Multiplying (1) by 4 and adding to (2) will eliminate the y- term

8x + 4y = 28 → (3)

Add (2) and (3) term by term to eliminate y

11x = 33 ( divide both sides by 11 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

2(3) + y = 7

6 + y = 7 ( subtract 6 from both sides )

y = 1

solution is x = 3 and y = 1

Answer 2

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Explanation: