Solve using elimination 5x+3y=24 -2x-7y=-56

Solution point (0,8)

Step-by-step explanation:

Multiply the top equation by 2

2*(5x + 3y = 24)                  Remove the brackets10x + 6y = 48                      You could simplify this but don't.And multiply the bottom equation by 55*(-2x - 7y = -56)-10x - 35y = -280

Now add the two equations together.

10x + 6y = 48                -10x -35y = - 280          The xs cancel out-29y = - 232                  Divide by - 29y = -232/-29                  Do the division y = 8

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Solve for x

5x + 3y = 24           Substitute for y5x + 3*8 = 24         Combine on the left5x + 24 = 24          Subtract 24 from both sides  5x = 0                     Divide by 5x = 0

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This one is just a bit messier. I made a graph of it just to show that the answer is correct.