Solve $5x + y = -3$ for $y$.
A. $y = 5x + 3$
B. $y = -5x + 3$
C. $y = 5x - 3$
D. $y = -5x - 3
Answer (1)
Subtract 5 x from both sides of the equation 5 x + y = − 3 .
Simplify the equation to isolate y .
The solution is y = − 5 x − 3 .
The final answer is y = − 5 x − 3 .
Explanation
Understanding the Problem We are given the equation 5 x + y = − 3 and asked to solve for y . This means we want to isolate y on one side of the equation.
Isolating y To isolate y , we need to subtract 5 x from both sides of the equation: 5 x + y − 5 x = − 3 − 5 x y = − 5 x − 3
Final Answer Therefore, the solution is y = − 5 x − 3 .
Examples
In physics, you might have a formula relating force, mass, and acceleration, but you need to express it in terms of acceleration to solve a problem. Similarly, in economics, you might rearrange a supply and demand equation to solve for price or quantity. This skill is essential for manipulating equations in various fields.
