Question 1060645: Could you please help me. How can I solve this system of equation using the substitution method.
-5x+y=-3
3x-8y=24
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Let's solve for y in equation 1
-5x+y=-3
-5x+y-5x=-3-5x
y=-3-5x
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Now we'll use y=-3-5x to plug into the other equation
3x-8y = 24
3x-8( y ) = 24
3x-8( -3-5x ) = 24 ... replace y with -3-5x; solve for x
3x-8(-3)+8(-5x) = 24
3x+24-40x = 24
3x-40x+24 = 24
-37x+24 = 24
-37x+24-24 = 24-24
-37x = 0
-37x/(-37) = 0/(-37)
x = 0
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Now that we know x = 0, we can use this to find y
y=-3-5x
y=-3-5*0 ... replace x with 0
y=-3-0
y=-3
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So together, x = 0 and y = -3.
They form the ordered pair (0,-3)
Visually, the two equations will graph 2 straight lines that meet at (0,-3)
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