How many solutions does the following equation have? 5x+8-7x=-4x+1 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. 5x - 7x + 8 = -4x + 1 This simplifies to: -2x + 8 = -4x + 1Add x terms together: Add 4x to both sides to get all the x terms on one side. -2x + 4x + 8 = -4x + 4x + 1 This simplifies to: 2x + 8 = 1Isolate x term: Subtract 8 from both sides to isolate the term with x. 2x + 8 - 8 = 1 - 8 This simplifies to: 2x = -7Solve for x: Divide both sides by 2 to solve for x. 2x / 2 = -7 / 2 This simplifies to: x = -7/2Final solution: Since we have found a value for x, the equation has exactly one solution.

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How many solutions does the following equation have?

5x+8-7x=-4x+1
Choose 1 answer:
(A) No solutions
(B) Exactly one solution
(C) Infinitely many solutions

How many solutions does the following equation have? $\newline$ $5x+8-7x=-4x+1$ $\newline$ Choose $1$ answer: $\newline$ (A) No solutions $\newline$ (B) Exactly one solution $\newline$ (C) Infinitely many solutions

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Q. How many solutions does the following equation have?

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5x+8-7x=-4x+1

\newline

Choose

1

answer:

\newline

(A) No solutions

\newline

(B) Exactly one solution

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Combine like terms: Combine like terms on the left side of the equation. $\newline$ $5x - 7x + 8 = -4x + 1$ $\newline$ This simplifies to: $\newline$ $-2x + 8 = -4x + 1$
Add $x$ terms together: Add $4x$ to both sides to get all the $x$ terms on one side. $\newline$ $-2x + 4x + 8 = -4x + 4x + 1$ $\newline$ This simplifies to: $\newline$ $2x + 8 = 1$
Isolate x term: Subtract $8$ from both sides to isolate the term with $x$ . $\newline$ $2x + 8 - 8 = 1 - 8$ $\newline$ This simplifies to: $\newline$ $2x = -7$
Solve for x: Divide both sides by $2$ to solve for x. $\newline$ $\frac{2x}{2} = \frac{-7}{2}$ $\newline$ This simplifies to: $\newline$ $x = \frac{-7}{2}$
Final solution: Since we have found a value for $x$ , the equation has exactly one solution.