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 (-2x) + 8 = -4x + 1Add x terms: Add 4x to both sides to get all the x terms on one side. (-2x + 4x) + 8 = -4x + 4x + 1 2x + 8 = 1Subtract 8: Subtract 8 from both sides to solve for x. 2x + 8 - 8 = 1 - 8 2x = -7Divide by 2: Divide both sides by 2 to find the value of x. 2x / 2 = -7 / 2 x = -3.5

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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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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

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

\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. $\newline$ $5x - 7x + 8 = -4x + 1$ $\newline$ $(-2x) + 8 = -4x + 1$
Add $x$ terms: Add $4x$ to both sides to get all the $x$ terms on one side. $\newline$ $(-2x + 4x) + 8 = -4x + 4x + 1$ $\newline$ $2x + 8 = 1$
Subtract $8$ : Subtract $8$ from both sides to solve for $x$ . $\newline$ $2x + 8 - 8 = 1 - 8$ $\newline$ $2x = -7$
Divide by $2$ : Divide both sides by $2$ to find the value of $x$ . $\frac{2x}{2} = \frac{-7}{2}$ $x = -3.5$