Answer:
(5,-2)
Explanation:
3x-2y=19
y=x-7
We can solve this in either of 2 ways:
1. Solve mathematically
Use the definition of y (in y=x-7) in the first equation:
3x-2y=19
3x-2(x-7)=19
3x-2x+14 = 19
x = 5
Use this to solve for y:
y=x-7
y=5-7
y = -2
The solution is (5,-2)
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2. Graph and find the point of intersection (where the values of x and y are the same for both equations). See the attachment.