Question

Solve the system by elimination​

Answer 1

Answer:

(-1, -2)

Step-by-step explanation:

4x - 7y = 10

3x + 2y = -7

The common multiple of the x coefficient is 12.

Multiple 3 to 4 to get 12; 4 to 3 to 12:

3(4x - 7y = 10)

4(3x + 2y = -7)

12x - 21y = 30

12x + 8y = -28

Subtract the two equations:

-29y = 58

y = -2

Substitute y = -2 to either 4x - 7y = 10 or 3x + 2y = -7. Typically, do the easier equation to solve:

3x + 2(-2) = -7

3x - 4 = -7

3x = -3

x = -1

The order pair solution is like a coordinate: (x, y)

You are welcome!

Kayden Kohl

9th Grade Algebra II Student