How many solutions does this equation have? –2c = –3c − 8 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Isolate variable c: Add 3c to both sides of the equation to isolate the variable c on one side. –2c + 3c = –3c + 3c − 8 This simplifies to: c = −8Check solution: Check the solution by substituting c = −8 back into the original equation. –2(−8) = –3(−8) − 8 16 = 24 − 8 16 = 16 This shows that c = −8 is a valid solution to the equation.

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How many solutions does this equation have? $\newline$ $-2c = -3c - 8$ $\newline$ 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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-2c = -3c - 8

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Choices:

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(A)no solution

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(B)one solution

\newline

(C)infinitely many solutions

Isolate variable $c$ : Add $3c$ to both sides of the equation to isolate the variable $c$ on one side. $\newline$ $-2c + 3c = -3c + 3c - 8$ $\newline$ This simplifies to: $\newline$ $c = -8$
Check solution: Check the solution by substituting $c = -8$ back into the original equation. $\newline$ $-2(-8) = -3(-8) - 8$ $\newline$ $16 = 24 - 8$ $\newline$ $16 = 16$ $\newline$ This shows that $c = -8$ is a valid solution to the equation.