Question

Solve the system by substitution:

y = -6x
y = -4x+2

Answer 1

The system of equations y = -6x and y = -4x + 2 is solved by substitution, yielding a solution where x = 1 and y = -6.

Step-by-step explanation:

To solve the system by substitution, we take the two equations provided:

• y = -6x
• y = -4x + 2

We substitute the expression for y from the first equation into the second equation, resulting in:

-6x = -4x + 2

Then we can solve for x:

2x = 2

x = 1

Substituting x = 1 into the first equation to find y:

y = -6(1)

y = -6

Thus, the solution to the system is x = 1 and y = -6.