Question

Solve the system by substitution.

y, equals, 6, x
y=
6x
y, equals, minus, 4, x, minus, 50
y=
−4x−50

Answer 1

To solve the system by substitution, substitute y from the first equation (y = 6x) into the second (y = -4x - 50), then solve for x, which is -5. Substitute x back into the first equation to find y, which is -30.

Step-by-step explanation:

To solve the system by substitution, we take the first equation y = 6x and substitute it into the second equation

y = -4x - 50.

1. Substitute y from the first equation into the second equation: 6x = -4x - 50.
2. Combine like terms to solve for x: 6x + 4x = -50, which simplifies to 10x = -50.
3. Divide both sides by 10 to find the value of x: x = -5.
4. Now that we have the value of x, we substitute it back into the first equation to find y: y = 6(-5).
5. Multiply to solve for y: y = -30.

The solution to the system of equations is x = -5 and y = -30.