How many solutions does this equation have? –8 − 5s = –3s Choices: (A)no solution (B)one solution (C)infinitely many solutions

Isolate variable term: Isolate the variable term on one side of the equation. –8 − 5s + 5s = –3s + 5sSimplify both sides: Simplify both sides of the equation. –8 = 2sSolve for s: Solve for s. s = –8 / 2 s = –4Check solution validity: Check if the solution is valid by substituting s = –4 back into the original equation. –8 − 5(–4) = –3(–4) –8 + 20 = 12 12 = 12

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How many solutions does this equation have? $\newline$ $-8 - 5s = -3s$ $\newline$ 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?

\newline

-8 - 5s = -3s

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Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Isolate variable term: Isolate the variable term on one side of the equation. $\newline$ $-8 - 5s + 5s = -3s + 5s$
Simplify both sides: Simplify both sides of the equation. $-8 = 2s$
Solve for s: Solve for s. $\newline$ $s = \frac{-8}{2}$ $\newline$ $s = -4$
Check solution validity: Check if the solution is valid by substituting $s = -4$ back into the original equation. $\newline$ $-8 - 5(-4) = -3(-4)$ $\newline$ $-8 + 20 = 12$ $\newline$ $12 = 12$