Respuesta :
Answer:
(2,4)
Step-by-step explanation:
We have the system:
y=x+2
y=3x-2.
This is already setup for substitution.
I'm going to replace my first y with what the second y equals.
That is, I'm going to write 3x-2=x+2.
Time to solve the following for x:
3x-2=x+2
Subtract x on both sides:
2x-2= 2
Add 2 on both sides:
2x. = 4
Divide both sides by 2:
x. = 2
Now that we know x=2 and we have an equation that relates x to y: either y=x+2 or y=3x-2, doesn't matter which we use, we can find y.
So we y=x+2 with x=2 which means y=2+2=4.
So the solution, the intersection, is (2,4).
Answer:
(2, 4 )
Step-by-step explanation:
Given the 2 equations
y = x + 2 → (1)
y = 3x - 2 → (2)
Substitute y = 3x - 2 into (1)
3x - 2 = x + 2 ( subtract x from both sides )
2x - 2 = 2 ( add 2 to both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Substitute x = 2 into (1) for the corresponding value of y
y = x + 2 = 2 + 2 = 4
As a check
Substitute x = 2 into the 2 equations and check validity
(1) → y = 2 + 2 = 4 ← Correct
(2) → y = (3 × 2) - 2 = 6 - 2 = 4 ← Correct
Solution is (2, 4 )
