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