Choose the correct ordered pair. Help please
Question
Answer:
We can solve this system of equations using substitution. 2y + 2x = 8
Solve for x.
2x = -2y + 8
Divide all terms by 2.
x = -y + 4
Take the equation x = -y + 4 and substitute it into the second system of equation.
2y - 4x = 2
2y - 4(-y + 4) = 2
Simplify by distributing.
2y + 4y - 16 = 2
Combine like terms.
6y - 16 = 2
6y = 18
y = 3
Now that you know the numerical value of y, substitute y with 3 in both equations to find x.
1) 2y + 2x = 8
2(3) + 2x = 8
6 + 2x = 8
2x = 2
x = 1
2) 2y - 4x = 2
2(3) - 4x = 2
6 - 4x = 2
-4x = -4
x = 1
The value of x is 1, and the value of y is 3.
Solution: B) (1, 3)
solved
general
10 months ago
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