Solve for h. (–5)/(h − 2) = (–4)/(h − 3) There may be 1 or 2 solutions. h = _____ or h = _____

Cross Multiply: Cross multiply to get rid of the fractions; -5(h - 3) = -4(h - 2). Distribute Numbers: Distribute the numbers; -5h + 15 = -4h + 8. Add 5h: Add 5h to both sides to get h by itself; 15 = -4h + 5h + 8. Combine Like Terms: Combine like terms; 15 = h + 8. Subtract 8: Subtract 8 from both sides to solve for h; 15 - 8 = h. Calculate Final Value: Calculate the final value; h = 7.

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Solve for $h$ . $\newline$ $\frac{-5}{h - 2} = \frac{-4}{h - 3}$ $\newline$ There may be $1$ or $2$ solutions. $\newline$ $h =$ _ or $h =$ _

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Math Problems

Algebra 1

Add and subtract rational expressions

Full solution

Q. Solve for

h

\newline

\frac{-5}{h - 2} = \frac{-4}{h - 3}

\newline

There may be

1

2

solutions.

\newline

h =

_____ or

h =

_____

Cross Multiply: Cross multiply to get rid of the fractions; $-5(h - 3) = -4(h - 2)$ .
Distribute Numbers: Distribute the numbers; $-5h + 15 = -4h + 8$ .
Add $5h$ : Add $5h$ to both sides to get $h$ by itself; $15 = -4h + 5h + 8$ .
Combine Like Terms: Combine like terms; $15 = h + 8$ .
Subtract $8$ : Subtract $8$ from both sides to solve for $h$ ; $15 - 8 = h$ .
Calculate Final Value: Calculate the final value; $h = 7$ .