Question

Solve the systems of equations graphed on the coordinate axes below. y=-4x-1 y=2x-1

Answer 1

To solve the system of equations y = -4x - 1 and y = 2x - 1, set the two equations equal to each other, combine like terms, and solve for the variable. The solution is x = 0 and y = -1.

Step-by-step explanation:

To solve the system of equations y = -4x - 1 and y = 2x - 1, we can set the two equations equal to each other:

-4x - 1 = 2x - 1

Next, we can combine like terms:

-4x - 2x = 1 - 1

-6x = 0

Dividing both sides by -6, we get:

x = 0

Substituting this value of x into one of the original equations, we can solve for y:

y = -4(0) - 1

y = -1

Therefore, the solution to the system of equations is x = 0 and y = -1.

Answer 2

The solution to the system of equations is where both graphed equations cross each other. So the answer to that system of equations is (0,-1).