Question

Solve this system of equations (please show work):

5x + 2y = 24
4x + 3y = 29

Answer 1

x=2, y=7. (2, 7).

Explanation:

5x+2y=24

4x+3y=29

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3(5x+2y)=3(24)

-2(4x+3y)=-2(29)

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15x+6y=72

-8x-6y=-58

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7x=14

x=14/7

x=2

5(2)+2y=24

10+2y=24

2y=24-10

2y=14

y=14/2

y=7