can someone check and see if i did this right
x+2y=8
x-x+2y=8-x
2y=8-x
2y/2=8/2-x
y=4-x
y=4-x/2
y=4-1/2x
It looks ok to me.
I answered this down below when she posted first.
x+2y=8
x-x+2y=8-x
2y=8-x
2y/2=8/2-x This line and next - divide x by 2
y=4-x
y=4-x/2 Error fixed.
y=4-1/2x
I see from Damon's answer that I should have gone through the math. I didn't do that. I just looked at the answer and wrote my response. Therefore, I didn't pick up on the errors in the work. I also suspect I should have written the asnwer as y = 4-(1/2)x to reduce any doubt as to the meaning of the equation.
To check if you did this right, we can solve the equations and see if the solution is consistent.
The original equation is: x + 2y = 8
To isolate y, we need to get rid of the x term. Subtracting x from both sides, we get: -x + 2y = 8 - x
Simplifying it, we have: 2y = 8 - x
To solve for y, divide both sides by 2: (2y)/2 = (8 - x)/2
Simplifying, we have: y = (8 - x)/2
Now we can compare this with the expression you provided for y:
y = 4 - (1/2)x
The two expressions are equivalent and can be rearranged in the same form:
(8 - x)/2 = 4 - (1/2)x
To check if they're equivalent, we can multiply through by 2:
(8 - x) = 8 - x
Both equations are the same, so your work is correct!