y=6-x and y=x-2
whats the answer
To find the answer, we can set the two equations equal to each other:
6-x = x - 2
Solving for x:
2x = 8
x = 4
Now, we can substitute x=4 into either equation to find the corresponding y value:
y = 6 - x = 6 - 4 = 2
or
y = x - 2 = 4 - 2 = 2
So the answer is (4,2).
To find the solution, you need to set the two equations equal to each other since they both represent the value of y.
So:
6 - x = x - 2
To solve for x, you can start by moving the x terms to one side of the equation:
6 - 2 = x + x
Simplifying the left side:
4 = 2x
Divide both sides of the equation by 2:
4/2 = 2x/2
2 = x
Now that you have the value of x, you can substitute it back into one of the original equations to find the corresponding value of y. Let's use the second equation:
y = x - 2
Substituting x = 2, we get:
y = 2 - 2
Simplifying:
y = 0
Therefore, the solution to the system of equations is x = 2 and y = 0.
To find the answer, we need to solve the given system of equations:
1. y = 6 - x
2. y = x - 2
We can solve this system by setting the two equations equal to each other:
6 - x = x - 2
Next, we can solve for x by isolating it on one side of the equation. To do this, we can bring the x terms to one side of the equation and the constant terms to the other side.
Adding x to both sides, we get:
6 = 2x - 2
Now, we can add 2 to both sides of the equation:
6 + 2 = 2x
Simplifying further:
8 = 2x
Dividing both sides by 2:
8/2 = 2x/2
4 = x
So, we have found the value of x, which is 4.
To find the value of y, we can substitute this value of x into either of the original equations. Let's substitute it into the second equation, y = x - 2:
y = 4 - 2
y = 2
Therefore, the solution to the system of equations is x = 4 and y = 2.