How many solutions does this equation have? 9h − 7 = 8h 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, subtract 8h from both sides of the equation. 9h − 7 - 8h = 8h - 8h This simplifies to: h − 7 = 0Add 7 to solve: Add 7 to both sides of the equation to solve for h. h − 7 + 7 = 0 + 7 This simplifies to: h = 7Check solution: Check the solution by substituting h = 7 back into the original equation. 9(7) − 7 = 8(7) 63 − 7 = 56 56 = 56 This shows that h = 7 is indeed a solution to the equation.

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How many solutions does this equation have? $\newline$ $9h - 7 = 8h$ $\newline$ 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?

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9h - 7 = 8h

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Choices:

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(A)no solution

\newline

(B)one solution

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(C)infinitely many solutions

Isolate variable $h$ : Isolate the variable $h$ on one side of the equation. $\newline$ To do this, subtract $8h$ from both sides of the equation. $\newline$ $9h − 7 - 8h = 8h - 8h$ $\newline$ This simplifies to: $\newline$ $h − 7 = 0$
Add $7$ to solve: Add $7$ to both sides of the equation to solve for $h$ . $h - 7 + 7 = 0 + 7$ This simplifies to: $h = 7$
Check solution: Check the solution by substituting $h = 7$ back into the original equation. $\newline$ $9(7) − 7 = 8(7)$ $\newline$ $63 − 7 = 56$ $\newline$ $56 = 56$ $\newline$ This shows that $h = 7$ is indeed a solution to the equation.