Enter the solution (x, y) to the system of equations shown: y = 4x – 3 y = -x – 13

To find the solution (x, y) to the system of equations, we can set the two expressions for y equal to each other since they both equal y:

1. Set the equations equal:

[

4x – 3 = -x – 13

]

2. Solve for x:

– Add x to both sides:

[

5x – 3 = -13

]

– Add 3 to both sides:

[

5x = -10

]

– Divide by 5:

[

x = -2

]

3. Substitute x back into one of the original equations to find y. Using (y = 4x – 3):

[

y = 4(-2) – 3 = -8 – 3 = -11

]

So, the solution to the system of equations is:

[

boxed{(-2, -11)}

]

This means that the point of intersection of the two lines represented by the equations is (-2, -11). Feel free to reach out for more help!