Decide which variable has a coefficient of 1 or -1, and solve for that variable in terms of the other variable. $5 x + y = 25$
A) $y = 25 + 5 x$
B) $y = 25 x + 5$
C) $y = 25 - 5 x$
D) $y = 25 x - 5$
E) $y = 5 x - 25$

Question

Quizplus · Accepted Answer

We want a coefficient of 1 or -1, so we need to rearrange the equation to solve for either x or y. We can do this by subtracting 5x from both sides to get:
y = 25 - 5x
Now we have a coefficient of -5 for x, but we want a coefficient of 1 or -1. We can divide both sides by -5 to get:
y/(-5) = (25/-5) + x
Simplifying, we get:
y/(-5) = -5 + x
Multiplying both sides by -1 to get rid of the negative coefficient on y, we get:
y/5 = 5 - x
Finally, we can rearrange to get y in terms of x:
y = 25 - 5x

Decide Which Variable Has a Coefficient of 1 or -1 5x+y=255 x + y = 255x+y=25

Decide Which Variable Has a Coefficient of 1 or -1 $5 x + y = 25$