How many solutions does this equation have? –9j = –10 − 10j Choices: (A)no solution (B)one solution (C)infinitely many solutions

Isolate variable j: Isolate the variable j on one side of the equation. –9j + 10j = –10 This simplifies to: j = –10Check solution: Check if the solution found in Step 1 satisfies the original equation. Substitute j = –10 into the original equation: –9(–10) = –10 − 10(–10) 90 = –10 + 100 90 = 90 This shows that j = –10 is a solution to the equation.

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How many solutions does this equation have? $\newline$ $-9j = -10 - 10j$ $\newline$ 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

Full solution

Q. How many solutions does this equation have?

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-9j = -10 - 10j

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Choices:

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(A)no solution

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(B)one solution

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(C)infinitely many solutions

Isolate variable $j$ : Isolate the variable $j$ on one side of the equation. $-9j + 10j = -10$ This simplifies to: $j = -10$
Check solution: Check if the solution found in Step $1$ satisfies the original equation. $\newline$ Substitute $j = -10$ into the original equation: $\newline$ $-9(-10) = -10 - 10(-10)$ $\newline$ $90 = -10 + 100$ $\newline$ $90 = 90$ $\newline$ This shows that $j = -10$ is a solution to the equation.