Question

What is the solution to this system of linear equations?
2x + 3y = 3
7x – 3y = 24

Answer 1

x = 3

y = -1

Explanation:

To solve this, you can use the elimination method, which is to have one pair of terms to cancel one another. In this case, we already have 3y and -3y, which cancel:

2x + 3y = 3

7x - 3y = 24

___________

9x = 27

Divide both sides by 9:

x = 3

Plug in 3 for x, into one of the equations:

2x + 3y = 3

2(3) + 3y = 3

6 + 3y = 3

Subtract 6 from both sides:

3y = -3

Divide both sides by 3:

y = -1