Question

Find the solution to the system of equations:
3x +2y = 16
y=-7x+19

Answer 1

x = 2, y = 5

Explanation:

If we substitute -7x + 19 for y in the other equation and solve it, we get:

3x + 2(-7x + 19) = 16

3x - 14x + 38 = 16

-11x + 38 = 16

-11x = -22

x = 2

Now that we've found x, we can substitute the value in the other equation.

y = -7(2) + 19

y = -14 + 19

y = 5

Now that we know x = 2 and y = 5, the problem is solved. I hope this made sense, feel free to ask questions!