How many solutions does the following equation have? -15 y+7+17 y=2y+70 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. -15y + 17y + 7 = 2y + 70 Combine the y terms: (-15 + 17)y + 7 = 2y + 70 2y + 7 = 2y + 70Isolate the constant terms: Subtract 2y from both sides of the equation to isolate the constant terms. 2y + 7 - 2y = 2y + 70 - 2y 7 = 70Check for validity: Check the resulting statement for validity. 7 = 70 is not a true statement, which means there is no value of y that can satisfy the equation.

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How many solutions does the following equation have?

-15 y+7+17 y=2y+70
Choose 1 answer:
(A) No solutions
(B) Exactly one solution
(c) Infinitely many solutions

How many solutions does the following equation have? $\newline$ $-15y + 7 + 17y = 2y + 70$ $\newline$ 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

-15y + 7 + 17y = 2y + 70

\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. $\newline$ $-15y + 17y + 7 = 2y + 70$ $\newline$ Combine the y terms: $\newline$ $(-15 + 17)y + 7 = 2y + 70$ $\newline$ $2y + 7 = 2y + 70$
Isolate the constant terms: Subtract $2y$ from both sides of the equation to isolate the constant terms. $\newline$ $2y + 7 - 2y = 2y + 70 - 2y$ $\newline$ $7 = 70$
Check for validity: Check the resulting statement for validity. $7 = 70$ is not a true statement, which means there is no value of $y$ that can satisfy the equation.