3x + 2y = 6 4x + y = 1 solve the system of equations. (-4/5, 21/5) (8/11, -21/11) no solution

3x + 2y = 6
4x + y = 1

Solve the second equation for y:
y = -4x + 1

Substitute -4x + 1 for y in the first equation.

3x + 2(-4x + 1) = 6
3x - 8x + 2 = 6

-5x = 4

x = -4/5

Now substitute x with -4/5 in the first original equation.

3x + 2y = 6

3 * (-4/5) + 2y = 6
-12/5 + 2y = 6

-12 + 10y = 30
10y = 42
y = 42/10
y = 21/5
Solution: (-4/5, 21/5)

The correct answer would be the fourth choice