How many solutions does this equation have? –10w + 10w = 0 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Combine like terms: Simplify the left side of the equation by combining like terms. –10w + 10w = (–10 + 10)w = 0wSubstitute with 0: Substitute 0w with 0 in the equation. 0w = 0 0 = 0Determine number of solutions: Determine how many solutions the equation has. The equation 0 = 0 is true for every value of w. Therefore, the equation –10w + 10w = 0 has an infinite number of solutions.

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How many solutions does this equation have? $\newline$ $-10w + 10w = 0$ $\newline$ 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

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Q. How many solutions does this equation have?

\newline

-10w + 10w = 0

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Combine like terms: Simplify the left side of the equation by combining like terms. $\newline$ $-10w + 10w$ $\newline$ $= (-10 + 10)w$ $\newline$ $= 0w$
Substitute with $0$ : Substitute $0w$ with $0$ in the equation. $\newline$ $0w = 0$ $\newline$ $0 = 0$
Determine number of solutions: Determine how many solutions the equation has. $\newline$ The equation $0 = 0$ is true for every value of $w$ . $\newline$ Therefore, the equation $-10w + 10w = 0$ has an infinite number of solutions.