How many solutions does the following equation have? -2z+10+7z=16 z+7 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. -2z + 10 + 7z = 5z + 10Rewrite the equation: Rewrite the equation with the combined terms. 5z + 10 = 16z + 7Isolate z: Move all terms containing z to one side and constant terms to the other side to isolate z. 5z - 16z = 7 - 10Combine like terms: Combine like terms on both sides. -11z = -3Solve for z: Solve for z by dividing both sides by -11. z = -3 / -11Simplify the fraction: Simplify the fraction. z = 3/11

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How many solutions does the following equation have?

-2z+10+7z=16 z+7
Choose 1 answer:
(A) No solutions
(B) Exactly one solution
(c) Infinitely many solutions

How many solutions does the following equation have? $\newline$ $-2z+10+7z=16z+7$ $\newline$ 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

-2z+10+7z=16z+7

\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. $\newline$ $-2z + 10 + 7z$ $\newline$ $= 5z + 10$
Rewrite the equation: Rewrite the equation with the combined terms. $5z + 10 = 16z + 7$
Isolate $z$ : Move all terms containing $z$ to one side and constant terms to the other side to isolate $z$ . $5z - 16z = 7 - 10$
Combine like terms: Combine like terms on both sides. $\newline$ $-11z = -3$
Solve for z: Solve for z by dividing both sides by -11＂).$\newline\$z = \frac{-3}{-11}$
Simplify the fraction: Simplify the fraction. $z = \frac{3}{11}$