What are the coordinates (x, y) at which the graphs of 2x + 3y = 12 and 2x - y = 4 intersect?

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asked Oct 13, 2019 214k views

1 Answer

Andreas Florath · Answer 1 · 2019-10-19T11:29:57+0000

2x + 3y = 12
2x - y = 4 so y = 2x - 4

substitute y = 2x - 4 into 2x + 3y = 12

2x + 3y = 12
2x + 3(2x - 4)= 12
2x + 6x - 12 = 12
8x = 24
x = 3
y = 2x - 4 = 2(3) - 4 = 2

(3,2)

answer
the coordinates (3,2)

What are the coordinates (x, y) at which the graphs of 2x + 3y = 12 and 2x - y = 4 intersect?

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