Question

A system of equations is shown below.

4x = - 3y + 17
3x - 4y = - 6

What is the solution to this system of equations?

(-2, -3)

(3, 2)

(2, 3)

(-3, -2)

Answer 1

@kelliegirl33 ?

Answer 2

4x = -3y + 17 ---> 4x + 3y = 17

now we have :
4x + 3y = 17 -->(-3)
3x - 4y = -6 --> (4)
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-12x - 9y = - 51 -- result of multiplying by -3)
12x - 16y = - 24 -- result of multiplying by 4)
-----------------add
- 25y = - 75
y = -75/-25 = 3

now sub 3 in for y in either of the above equations
3x - 4y = -6
3x - 4(3) = -6
3x - 12 = -6
3x = -6 + 12
3x = 6
x = 6/3 = 2

x = 2 and y = 3 or (2,3)