5. Find the solution to the system of equations by using either graphing or substitution. (1 point)
y=6-x and y=x-2
O(2.4)
O(-4,2)
O(4,2)
O no solutions
To solve this system of equations using substitution, we'll substitute the expression for y in the second equation with the value from the first equation.
y=6-x
y=x-2
x-2 = 6-x
2x = 8
x = 4
Now we can substitute this value into either equation to find the value of y:
y = 6 - x = 6 - 4 = 2
Therefore, the solution to the system of equations is (4, 2).
So, the answer is O(4,2).
To find the solution to the system of equations, we can use substitution.
Given the equations:
1) y = 6 - x
2) y = x - 2
We can substitute equation (2) into equation (1) as follows:
6 - x = x - 2
Next, let's solve for x:
6 + 2 = x + x
8 = 2x
x = 4
Now, substitute this value of x back into any of the original equations (I'll use equation 2):
y = 4 - 2
y = 2
Therefore, the solution to the system of equations is:
(4, 2)
So, the correct answer is:
O(4, 2).