Answer:
x = 5/2 y = 3/2
Step-by-step explanation:
You need to write what the question is besides the information in the problem. I assume the question is to find the values of x and y.
Going on that premise, Let equation (1) be -5x + 3y = -8 and
equation (2) be 3x - 7y = -3
Lets multiply (1) by 3 and (2) by 5 and we get equations (4) and (5)
(4) -15x + 9y = -24 and (5) 15x - 35y = -15 Now add (4) and (5)
-15x + 9y = -24
<u> 15x - 35y = -15</u>
-26y = - 39
y = 3/2 Now substitute y = 3/2 in equation (1). -5x + 3)(3/2) = -8
-5x + 9/2 = -8
-10x + 9 = -16
-10x = -25
x = -25/-10 = 5/2
x = 5/2 y = 3/2
Check: Substitute your answers into equation (2) and see if they work.
3(5/2) -7(3/2) = 15/2 - 21/2 = -6/2 = -3 Hooray! We have the correct values for x and y that makes each equation true
