What is the solution to the system below?

Question

y=x+4
y=−x+6

Answer 1

To find the solution to the system of equations, we can set the equations equal to each other and solve for the unknown variable.

x + 4 = -x + 6

By moving the -x term to the left side of the equation and the 4 term to the right side:

2x = 2

Next, divide both sides of the equation by 2:

x = 1

Now that we have the value of x, we can substitute it back into either of the original equations to find the value of y. Let's use the first equation:

y = x + 4
y = 1 + 4
y = 5

Therefore, the solution to the system of equations is x = 1 and y = 5.