Question

Solve the system of equations.
2x+8y=8
2x−4y=−16(1 point)

Answer 1

Solve the system of equations.
7x+3y=−25
−7x+9y=−47 (1 point)

Answer 2

To solve this system of equations, we can use the method of substitution.

From the first equation, we can solve for x in terms of y:
2x + 8y = 8
2x = 8 - 8y
x = 4 - 4y

Now, substitute x = 4 - 4y into the second equation:
2(4 - 4y) - 4y = -16
8 - 8y - 4y = -16
8 - 12y = -16
-12y = -24
y = 2

Now that we have found the value of y, substitute y = 2 back into x = 4 - 4y:
x = 4 - 4(2)
x = 4 - 8
x = -4

Therefore, the solution to the system of equations is x = -4 and y = 2.

Answer 3

To solve this system of equations, we will use the method of elimination by adding the two equations together to eliminate the x-terms.

Given equations:
7x + 3y = -25
-7x + 9y = -47

Adding the two equations together:
(7x + 3y) + (-7x + 9y) = -25 - 47
7x - 7x + 3y + 9y = -72
12y = -72
y = -6

Now, we substitute y = -6 into one of the original equations to solve for x. Let's use the first equation:
7x + 3(-6) = -25
7x - 18 = -25
7x = -25 + 18
7x = -7
x = -1

Therefore, the solution to the system of equations is x = -1 and y = -6.