Home > Algebra > One-Step Equations and Inverse Operations

How do you solve and check your solutions to #-0.12=y/-0.5#?

Answer 1

Eva Abramson

See a solution process below:

Multiply each side of the equation by #color(red)(-0.5)# to solve for #y# while keeping the equation balanced:

#color(red)(-0.5) xx -0.12 = color(red)(-0.5) xx y/-0.5#

#0.06 = cancel(color(red)(-0.5)) xx y/color(red)(cancel(color(black)(-0.5)))#

#0.06 = y#

#y = 0.06#

To check the solution we need to substitute #0.06# for #y# back in the original equation and calculate the left side of the equation. If the left and right side of the equation are then equal, the solution is validated:

#-0.12 = y/-0.5# becomes:

#-0.12 = 0.06/-0.5#

#-0.12 = -0.12#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eli Assouline

To solve the equation -0.12 = y / -0.5, multiply both sides by -0.5 to isolate y. This gives us y = (-0.12) * (-0.5) = 0.06. To check the solution, substitute y = 0.06 back into the original equation: -0.12 = 0.06 / -0.5. After simplification, we see that -0.12 = -0.12, confirming that y = 0.06 is the correct solution.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.