How many solutions does the following equation have? -3x+9-2x=-12-5x 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. -3x - 2x + 9 = -12 - 5x (-3 - 2)x + 9 = -12 - 5x -5x + 9 = -12 - 5xEliminate x terms: Since we have -5x on both sides of the equation, we can add 5x to both sides to eliminate the x terms. -5x + 9 + 5x = -12 - 5x + 5x 9 = -12No solution: We are left with a statement that 9 equals -12, which is not true. This means there are no values of x that can satisfy the equation.

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How many solutions does the following equation have?

-3x+9-2x=-12-5x
Choose 1 answer:
(A) No solutions
(B) Exactly one solution
(C) Infinitely many solutions

How many solutions does the following equation have? $\newline$ $-3x+9-2x=-12-5x$ $\newline$ 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

-3x+9-2x=-12-5x

\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. $\newline$ $-3x - 2x + 9 = -12 - 5x$ $\newline$ $(-3 - 2)x + 9 = -12 - 5x$ $\newline$ $-5x + 9 = -12 - 5x$
Eliminate x terms: Since we have $-5x$ on both sides of the equation, we can add $5x$ to both sides to eliminate the x terms. $\newline$ $-5x + 9 + 5x = -12 - 5x + 5x$ $\newline$ $9 = -12$
No solution: We are left with a statement that $9$ equals $-12$ , which is not true. This means there are no values of $x$ that can satisfy the equation.