How many solutions does the following equation have? 20 z-5-12 z=10 z+8 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. 20z - 5 - 12z = (20z - 12z) - 5 = 8z - 5Rewrite with simplified left side: Rewrite the equation with the simplified left side. 8z - 5 = 10z + 8Move terms and constants: Move all terms containing z to one side and constant terms to the other side. 8z - 10z = 8 + 5 -2z = 13Solve for z: Solve for z by dividing both sides by -2. z = 13 / -2 z = -6.5

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How many solutions does the following equation have?

20 z-5-12 z=10 z+8
Choose 1 answer:
(A) No solutions
(B) Exactly one solution
(c) Infinitely many solutions

How many solutions does the following equation have? $\newline$ $20z - 5 - 12z = 10z + 8$ $\newline$ 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

20z - 5 - 12z = 10z + 8

\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. $\newline$ $20z - 5 - 12z$ $\newline$ = $(20z - 12z) - 5$ $\newline$ = $8z - 5$
Rewrite with simplified left side: Rewrite the equation with the simplified left side. $\newline$ $8z - 5 = 10z + 8$
Move terms and constants: Move all terms containing $z$ to one side and constant terms to the other side. $8z - 10z = 8 + 5$ $-2z = 13$
Solve for z: Solve for z by dividing both sides by $-2$ . $z = \frac{13}{-2}$ $z = -6.5$