How many solutions does this equation have? –4 − 6r = –10r Choices: (A)no solution (B)one solution (C)infinitely many solutions

Isolate variable terms: Isolate the variable terms on one side of the equation. –4 − 6r + 10r = –10r + 10rSimplify both sides: Simplify both sides of the equation. –4 + 4r = 0Check for further simplification: Check if the equation can be further simplified or if it gives a specific value for r. Since there is no specific value for r that would make the equation untrue, the equation –4 + 4r = 0 is true for any value of r.Determine number of solutions: Determine the number of solutions based on the simplified equation. The equation –4 + 4r = 0 has infinitely many solutions because any value of r will satisfy the equation.

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How many solutions does this equation have? $\newline$ $-4 - 6r = -10r$ $\newline$ 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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-4 - 6r = -10r

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Choices:

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(A) no solution

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(B) one solution

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Isolate variable terms: Isolate the variable terms on one side of the equation. $\newline$ $-4 - 6r + 10r = -10r + 10r$
Simplify both sides: Simplify both sides of the equation. $-4 + 4r = 0$
Check for further simplification: Check if the equation can be further simplified or if it gives a specific value for $r$ . Since there is no specific value for $r$ that would make the equation untrue, the equation $-4 + 4r = 0$ is true for any value of $r$ .
Determine number of solutions: Determine the number of solutions based on the simplified equation. $\newline$ The equation $–4 + 4r = 0$ has infinitely many solutions because any value of $r$ will satisfy the equation.