How many solutions does the following equation have? 74 y-8-78 y=-4y-8 Choose 1 answer: (A) No solutions (B) Exactly one solution (c) Infinitely many solutions

Combine like terms: Combine like terms on the left side of the equation. 74y - 8 - 78y = -4y - 8 Combine 74y and -78y to get -4y. -4y - 8 = -4y - 8Observe both sides: Observe both sides of the equation. The left side of the equation is identical to the right side (-4y - 8 = -4y - 8). This means the equation is true for any value of y.Determine number of solutions: Determine the number of solutions. Since the equation is true for any value of y, the equation has infinitely many solutions.

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How many solutions does the following equation have?

74 y-8-78 y=-4y-8
Choose 1 answer:
(A) No solutions
(B) Exactly one solution
(c) Infinitely many solutions

How many solutions does the following equation have? $\newline$ $74y - 8 - 78y = -4y - 8$ $\newline$ Choose $1$ answer: $\newline$ (A) No solutions $\newline$ (B) Exactly 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 the following equation have?

\newline

74y - 8 - 78y = -4y - 8

\newline

Choose

1

answer:

\newline

(A) No solutions

\newline

(B) Exactly one solution

\newline

Combine like terms: Combine like terms on the left side of the equation. $\newline$ $74y - 8 - 78y = -4y - 8$ $\newline$ Combine $74y$ and $-78y$ to get $-4y$ . $\newline$ $-4y - 8 = -4y - 8$
Observe both sides: Observe both sides of the equation. $\newline$ The left side of the equation is identical to the right side ( $-4y - 8 = -4y - 8$ ). $\newline$ This means the equation is true for any value of $y$ .
Determine number of solutions: Determine the number of solutions. $\newline$ Since the equation is true for any value of $y$ , the equation has infinitely many solutions.