I've been stuck for a while on this problem

Which ordered pair represents the solution to the system of equations?
{ 5x+3y=7
{ 3x-5y=-23

1 answer

5x+3y=7 ...........(1)
3x-5y=-23 .........(2)
We try to cancel/eliminate one of the variables. I choose to eliminate y.
25x+15y=35 ...........5*(1)....(1A)
9x-15y=-69 .........3*(2).....(2A)
Add (1A)+(2A)
34x=-34
Solve for x.
Substitute value of x into 1 and solve for y.
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