How many solutions does the following equation have? -17(y-2)=-17 y+64 Choose 1 answer: (A) No solutions (B) Exactly one solution (c) Infinitely many solutions

Distribute -17: Distribute -17 to both terms inside the parentheses. -17(y-2) = -17y + 34Bring terms involving y together: Bring all terms involving y to one side of the equation by adding 17y to both sides. -17y + 17y + 34 = -17y + 17y + 64Simplify the equation: Simplify both sides of the equation. 34 = 64Observe contradiction: Observe that 34 does not equal 64, which means there is a contradiction. Since the equation simplifies to a false statement, there are no values of y that can satisfy the equation.

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How many solutions does the following equation have?

-17(y-2)=-17 y+64
Choose 1 answer:
(A) No solutions
(B) Exactly one solution
(c) Infinitely many solutions

How many solutions does the following equation have? $\newline$ $-17(y-2)=-17y+64$ $\newline$ 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

-17(y-2)=-17y+64

\newline

Choose

1

answer:

\newline

(A) No solutions

\newline

(B) Exactly one solution

\newline

Distribute $-17$ : Distribute $-17$ to both terms inside the parentheses. $-17(y-2) = -17y + 34$
Bring terms involving $y$ together: Bring all terms involving $y$ to one side of the equation by adding $17$ y to both sides. $\newline$ $-17$ y + $17$ y + $34$ = $-17$ y + $17$ y + $64$
Simplify the equation: Simplify both sides of the equation. $34 = 64$
Observe contradiction: Observe that $34 \neq 64$ , which means there is a contradiction. $\newline$ Since the equation simplifies to a false statement, there are no values of $y$ that can satisfy the equation.