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

The system of equations has 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)