Solving with Elimination Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items

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

Answer 1

To solve this system of equations using the elimination method, we need to add the two equations together to eliminate the variable x.

(7x + 3y) + (-7x + 9y) = -25 - 47
7x + 3y - 7x + 9y = -72
12y = -72
y = -6

Now that we have found the value of y, we can substitute it back into one of the original equations to solve for x.

7x + 3(-6) = -25
7x - 18 = -25
7x = -7
x = -1

Therefore, the solution to the system of equations is (-1, -6).