Solve the system of equations.

Question

3x+y=2
7x−4y=30(1 point)

Answer 1

We can solve this system of equations using elimination method:

First, let's multiply the first equation by 4 to eliminate the y variable:

12x + 4y = 8 (equation 1)
7x − 4y = 30 (equation 2)

Adding equation 1 and equation 2, we get:

19x = 38
x = 2

Now we can substitute x = 2 into either equation to find y:

3(2) + y = 2
y = -4

Therefore, the solution to the system of equations is (2,-4).