How many solutions does this equation have? –7d = –10d + 3d 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. –10d + 3d = (–10 + 3)d = –7dCompare equations: Compare the simplified equation to the original equation. The simplified equation is –7d = –7d. This statement is true for every value of d.Determine solutions: Determine the number of solutions. Since –7d = –7d is always true, the equation has an infinite number of solutions.

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How many solutions does this equation have? $\newline$ $-7d = -10d + 3d$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions $\newline$

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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

-7d = -10d + 3d

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Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

\newline

Combine like terms: Simplify the right side of the equation by combining like terms. $\newline$ $-10d + 3d$ $\newline$ $= (-10 + 3)d$ $\newline$ $= -7d$
Compare equations: Compare the simplified equation to the original equation. $\newline$ The simplified equation is $-7d = -7d$ . $\newline$ This statement is true for every value of $d$ .
Determine solutions: Determine the number of solutions. $\newline$ Since $-7d = -7d$ is always true, the equation has an infinite number of solutions.