y = x + 2 y = - x + 6 linear equations

1 answer

To solve this system of linear equations, we can use the method of substitution.

Given:

y = x + 2
y = -x + 6

We can substitute the value of y from the first equation into the second equation:

x + 2 = -x + 6

Now, let's solve for x:

2x = 4

Dividing both sides by 2:

x = 2

Now, substitute the value of x into the first equation to solve for y:

y = 2 + 2
y = 4

Therefore, the solution to the system of linear equations is x = 2 and y = 4