SOLUTION: What is the ordered pair of -5x+y=19,x-7y=3?

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Question 115972: What is the ordered pair of -5x+y=19,x-7y=3?
Answer by HyperBrain(694) About Me  (Show Source):
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We have two linear equation here: -5x+y=19 and x-7y=3
From x-7y=3,
x-7y=3
x-7y+7y=7y+3
x+0=7y+3
x=7y+3
Substituting this value to -5x+y=19,
-5(7y+3)+y=19
(-35y-15)+y=19
-34y-15=19
-34y-15+15=19+15
-34y+0=34
-34y=34
y=-1
Solving for x,
x=7y+3
x=7(-1)+3
x=-7+3
x=-4
Since we got x=-4 and y=-1,
The two lines intersect at (-4,-1)

GRAPH:
graph%281000%2C1000%2C-20%2C20%2C-20%2C20%2C5x%2B19%2C%28x-3%29%2F7%29

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