Solve the system of equations.

Question

3x+y=2
7x−4y=30(1 point)
Responses

Answer 1

First, let's isolate y in the first equation:
y = 2 - 3x.

Now let's substitute this expression into the second equation, thus eliminating y:
7x - 4(2 - 3x) = 30
7x - 8 + 12x = 30

Now we'll combine the terms with the x variable:
19x = 38

Now, dividing both sides by 19:
x = 2

Next, we'll plug this value back into the expression we found for y:
y = 2 - 3(2)
y = 2 - 6
y = -4

So, the solution is x = 2, y = -4.