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5x+3y = 51

y = 10x-8

Substituting the bottom equation into the top equation:

5x+3(10x-8) = 51

5x+30x-24 = 51

5x+30x = 51+24

35x = 75

Divide both sides by 35 to find the value of x:

x = 75/35 = 15/7 in its lowest terms.

Substitute the value of x into the original equations to find the value of y:

So: x = 15/7 and y = 94/7

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โˆ™ 2010-01-22 11:48:14
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Q: How do you solve the linear system negative 5x plus 3y equals 51 and y equals 10x minus 8 with substitutions?
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