Question

Solve the system using elimination.
3x + 5y = 55
5x + 4y = 57

Answer 1

x=5, y=8. (5, 8).

Explanation:

3x+5y=55

5x+4y=57

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5(3x+5y)=5(55)

-3(5x+4y)=-3(57)

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15x+25y=275

-15x-12y=-171

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13y=104

y=104/13

y=8

3x+5(8)=55

3x+40=55

3x=55-40

3x=15

x=15/3

x=5