How many solutions does the following equation have? -25 z+1+35 z=10 z+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. -25z + 1 + 35z = 10z + 1Simplify left side: Simplify the left side by adding the coefficients of z. (-25 + 35)z + 1 = 10z + 1Calculate coefficient of z: Calculate the simplified coefficient of z on the left side. 10z + 1 = 10z + 1Observe identical sides: Observe that both sides of the equation are identical. Since 10z + 1 is equal to 10z + 1 for all values of z, the equation has infinitely many solutions.

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How many solutions does the following equation have?

-25 z+1+35 z=10 z+1
Choose 1 answer:
(A) No solutions
(B) Exactly one solution
(c) Infinitely many solutions

How many solutions does the following equation have? $\newline$ $-25 z + 1 + 35 z = 10 z + 1$ $\newline$ 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

-25 z + 1 + 35 z = 10 z + 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. $\newline$ $-25z + 1 + 35z$ $\newline$ $= 10z + 1$
Simplify left side: Simplify the left side by adding the coefficients of $z$ . $(-25 + 35)z + 1$ $= 10z + 1$
Calculate coefficient of z: Calculate the simplified coefficient of z on the left side. $\newline$ $10z + 1$ $\newline$ = $10z + 1$
Observe identical sides: Observe that both sides of the equation are identical. $\newline$ Since $10z + 1$ is equal to $10z + 1$ for all values of $z$ , the equation has infinitely many solutions.