Question

Can you please verify if I did this problem correct. I need to solve for y and then X. Whatever the solution is, I should take the difference of the two numbers. Please let me know if this is correct...I thank you

8x -11y = 170
-6y + x = 49

8x -11y = 170
-11y = 170-8x
y = -15.45 + 72
Y = 56.55

8x - 11(56.55) = 170
8x -622.05 = 170
8x = 792.05
x = 99.00

x-y = 42.45
99.00 - 56.55 = 42.45

Answer 1

Nope. eq #2 is better to use to substitute. It says

x = 6y+49

So, use that in eq #1, and you have

8(6y+49)-11y = 170
48y+392-11y = 170
37y = -222
y = -6
x = 6y+49 = -36+49 = 13

So, where did you go wrong?

How did you make this step?

-11y = 170-8x
y = -15.45 + 72

what did you do with the 8x?

I find it better to use fractions in cases like this. Even better is when you can find a simple substitution as I did above.