How many solutions does this equation have? –4h = 7 − 5h Choices: (A)no solution (B)one solution (C)infinitely many solutions

Isolate variable h: Isolate the variable h on one side of the equation. To do this, we can add 5h to both sides of the equation to combine like terms. –4h + 5h = 7 − 5h + 5h This simplifies to: h = 7Check for errors: Check for any mathematical errors in the previous step. We added 5h to both sides correctly and simplified the equation to find that h equals 7. There are no mathematical errors in this step.Determine number of solutions: Determine the number of solutions based on the simplified equation. Since we have found a specific value for h (h = 7), this equation has exactly one solution.

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How many solutions does this equation have? $\newline$ $-4h = 7 - 5h$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

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Math Problems

Algebra 1

Find the number of solutions to a linear equation

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Q. How many solutions does this equation have?

\newline

-4h = 7 - 5h

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Isolate variable $h$ : Isolate the variable $h$ on one side of the equation. $\newline$ To do this, we can add $5h$ to both sides of the equation to combine like terms. $\newline$ $–4h + 5h = 7 − 5h + 5h$ $\newline$ This simplifies to: $\newline$ $h = 7$
Check for errors: Check for any mathematical errors in the previous step. $\newline$ We added $5h$ to both sides correctly and simplified the equation to find that $h$ equals $7$ . $\newline$ There are no mathematical errors in this step.
Determine number of solutions: Determine the number of solutions based on the simplified equation. $\newline$ Since we have found a specific value for $h$ ( $h = 7$ ), this equation has exactly $1$ solution.