Solve using the substitution method
x-7y=19
5x=-2y-16
2 answers:
Answer:
(-2,-3)
Step-by-step explanation:
subtract -7y from both sides to get x = 7y + 19
plug in
5(7y + 19) = -2y - 16
distribute the 5
35y + 95 = -2y - 16
subtract 95 from both sides
35y = -2y - 111
add -2y to both sides
37y = -111
divide both sides by 37
y = -3
plug in the y to find the x
x = 7(-3) + 19
multiply 7 and -3
x = -21 + 19
subtract
x = -2
make into a coordinate
(-2, -3)
x - 7y = 19 <em>multiply both sides by 5</em>
5x - 35y = 95
Substitute 5x = -2y - 16:
(-2y - 16) - 35y = 95
(-2y - 35y) - 16 = 95 <em>add 16 to both sides</em>
-37y = 111 <em>divide both sides by (-37)</em>
y = -3
Put the volue of y to the first equation:
x - 7(-3) = 19
x + 21 = 19 <em>subtract 21 from both sides</em>
x = -2
<h3>Answer: x = -2 and y = -3 → (-2, -3)</h3>
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