Solve the system of two equations using substitution.

Question

3x+y=2
7x−4y=30

Answer 1

First, isolate y in the first equation:
y = 2 - 3x

Then substitute this expression for y into the second equation:
7x - 4(2 - 3x) = 30
7x - 8 + 12x = 30
19x - 8 = 30
19x = 38
x = 2

Now, substitute x back into the first equation to solve for y:
3(2) + y = 2
6 + y = 2
y = -4

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