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How do you solve the linear system negative 5x plus 3y equals 51 and y equals 10x minus 8 with substitutions?
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
What else can I help you with?
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7
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