Respuesta :
Answer:
x = 14
y = 22
Step-by-step explanation:
y = x + 8
4x - 2y = -12
Solve
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Since we see that the first equation has y alone, we can substitute it into the values of y in the second equation.
4x - 2(x + 8) = -12
Distribute :
4x - (2(x) + 2(8)) = -12
4x - 2x +16 = -12
Combine like terms :
2x + 16 = -12
Subtract 16 from both sides :
2x = -28
Divide 2 from both sides to get x alone :
x = 14
Now that we know what x is, substitute it in the first equation to get y :
y = (14) + 8
y = 22
Answer:
(2 , 10) or x = 2 & y = 10
Step-by-step explanation:
y = x + 8
4x – 2y = -12
1. Substitute x + 8 in for the y in the other equation.
2. Solve for x
3. Take the solution for x and substitute the number in for the x in y = x + 8.
4. Solve for y.
5. Your answer is the result.
4x - 2(x + 8) = -12 Distributive Property
4x - 2x - 16 = -12 Combine like terms
2x - 16 = -12 Isolate the x, so start by moving -16
+ 16 +16
2x + 0 = 4 Delete the 0. It is a place holder you don't need
2x = 4 Isolate the x by dividing both terms by 2.
2 2
x = 2
y = x + 8 Substitute the 2 in for x and solve the one step equation.
y = 2 + 8
y = 10