How many solutions does this equation have? –7f − 3f = –10f 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. –7f − 3f = (–7 − 3)f = –10f Compare left and right sides: Compare the simplified left side of the equation to the right side. The equation now reads –10f = –10f. This statement is true for every value of f. Therefore, the equation has an infinite number of solutions.

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How many solutions does this equation have? $\newline$ $-7f - 3f = -10f$ $\newline$ 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

-7f - 3f = -10f

\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. $\newline$ $-7f - 3f$ $\newline$ $= (-7 - 3)f$ $\newline$ $= -10f$
Compare left and right sides: Compare the simplified left side of the equation to the right side. $\newline$ The equation now reads $–10f = –10f$ . $\newline$ This statement is true for every value of $f$ . $\newline$ Therefore, the equation has an infinite number of solutions.