What is the solution to the system of equations: y = x + 6 and x + 4 = 8?

To solve the system of equations, we have two equations:

• 1. y = x + 6
• 2. x + 4 = 8

Let’s first solve the second equation for x:

x + 4 = 8
x = 8 - 4
x = 4

Now that we have x = 4, we can substitute this value into the first equation to find y:

y = x + 6
y = 4 + 6
y = 10

So, the solution to the system of equations is (4, 10). This means that when x is 4, then y is 10, satisfying both equations.