How many solutions does this equation have? –7m = –2m − 5m Choices: (A)no solution (B)one solution (C)infinitely many solutions

Combine like terms: Simplify the right side of the equation by combining like terms. –2m − 5m = (–2 − 5)m = –7mCompare equations: Compare the simplified equation to the original equation. The original equation is –7m = –2m − 5m, which simplifies to –7m = –7m.Determine number of solutions: Determine how many solutions the equation has. Since –7m = –7m is true for every value of m, the equation has an infinite number of solutions.

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How many solutions does this equation have? $\newline$ $-7m = -2m - 5m$ $\newline$ 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

-7m = -2m - 5m

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Combine like terms: Simplify the right side of the equation by combining like terms. $\newline$ $-2m - 5m$ $\newline$ $= (-2 - 5)m$ $\newline$ $= -7m$
Compare equations: Compare the simplified equation to the original equation. $\newline$ The original equation is $–7m = –2m − 5m$ , which simplifies to $–7m = –7m$ .
Determine number of solutions: Determine how many solutions the equation has. $\newline$ Since $-7m = -7m$ is true for every value of $m$ , the equation has an infinite number of solutions.