How many solutions does this equation have? –4y − y = –5y Choices: (A)no solution (B)one solution (C)infinitely many solutions

Combine like terms: Simplify –4y − y by combining like terms. –4y − y = (–4 – 1)y = –5y Compare left and right sides: Compare the simplified left side with the right side. –5y = –5y This statement is true for every value of y.Determine number of solutions: Determine the number of solutions. Since –5y = –5y is true for all values of y, the equation has an infinite number of solutions.

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How many solutions does this equation have? $\newline$ $-4y - y = -5y$ $\newline$ 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

-4y - y = -5y

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Combine like terms: Simplify $–4y − y$ by combining like terms. $–4y − y = (–4 – 1)y = –5y$
Compare left and right sides: Compare the simplified left side with the right side. $\newline$ $-5y = -5y$ $\newline$ This statement is true for every value of $y$ .
Determine number of solutions: Determine the number of solutions. $\newline$ Since $-5y = -5y$ is true for all values of $y$ , the equation has an infinite number of solutions.