How many solutions does this equation have? 9j = 8j + 4 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 - 8j = 8j + 4 - 8j This simplifies to: j = 4Check solution j = 4: Check if the solution j = 4 satisfies the original equation. Substitute j = 4 into the original equation: 9(4) = 8(4) + 4 36 = 32 + 4 36 = 36 This shows that j = 4 is a solution to the equation.Determine number of solutions: Determine the number of solutions. Since we found a specific value for j that satisfies the equation, and there are no other possible values for j that would satisfy the equation, there is only one solution.

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How many solutions does this equation have? $\newline$ $9j = 8j + 4$ $\newline$ 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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9j = 8j + 4

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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. $\newline$ $9j - 8j = 8j + 4 - 8j$ $\newline$ This simplifies to: $\newline$ $j = 4$
Check solution $j = 4$ : Check if the solution $j = 4$ satisfies the original equation. $\newline$ Substitute $j = 4$ into the original equation: $\newline$ $9(4) = 8(4) + 4$ $\newline$ $36 = 32 + 4$ $\newline$ $36 = 36$ $\newline$ This shows that $j = 4$ is a solution to the equation.
Determine number of solutions: Determine the number of solutions. Since we found a specific value for $j$ that satisfies the equation, and there are no other possible values for $j$ that would satisfy the equation, there is only $1$ solution.