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

Simplify terms: Simplify the right side of the equation by combining like terms. –5w − 2w = (–5 – 2)w = –7wCompare equations: Compare the simplified equation to the original equation. The simplified equation is –7w = –7w. This statement is true for every value of w.Determine solutions: Determine the number of solutions. Since –7w = –7w is always true, the equation has an infinite number of solutions.

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

-7w = -5w - 2w

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Simplify terms: Simplify the right side of the equation by combining like terms. $\newline$ $-5w - 2w$ $\newline$ $= (-5 - 2)w$ $\newline$ $= -7w$
Compare equations: Compare the simplified equation to the original equation. $\newline$ The simplified equation is $-7w = -7w$ . $\newline$ This statement is true for every value of $w$ .
Determine solutions: Determine the number of solutions. $\newline$ Since $-7w = -7w$ is always true, the equation has an infinite number of solutions.