Solve the system of equation

Question

3x+y=2
7x-4y+30

Answer 1

There seems to be a mistake in the second equation. It should be 7x - 4y = -30.

To solve this system of equations:

1. Rearrange the first equation to solve for y:
y = 2 - 3x

2. Substitute this expression for y into the second equation:
7x - 4(2 - 3x) = -30
7x - 8 + 12x = -30
19x = -22
x = -22/19

3. Substitute the x-value back into the first equation to solve for y:
3(-22/19) + y = 2
-66/19 + y = 38/19
y = 38/19 + 66/19
y = 104/19

Therefore, the solution to the system of equations is x = -22/19 and y = 104/19.