MATH SOLVE

4 months ago

Q:
# Can somebody solve this system equation using addition please?-4x-5y=7 3x+5y=-14I can’t solve it and it’s due tomorrow for my math class also please show work on how you’ve solved it

Accepted Solution

A:

-4x - 5y = 7
3x + 5y = -14You can add these two equations together straightaway since the y-terms have opposite coefficients. -4x - 5y = 7
3x + 5y = -14+___________ -x - 0 = -7 -x = -7 x = 7Substitute 7 for x into either of the original equations and solve algebraically to find y.3x + 5y = -143(7) + 5y = -1421 + 5y = -1421 = -14 - 5y35 = -5y-7 = yFinally, check work by substituting both x- and y-values into both original equations.-4x - 5y = 7
-4(7) - 5(-7) = 7-28 + 35 = 77 = 73x + 5y = -143(7) + 5(-7) = -1421 - 35 = -14-14 = -14Answer:x = 7 and y = -7; (7, -7).