Select all of the equations below that are equivalent to: pq = 98 Use properties of equality. Multi-select Choices: (A)pq/–2 = –49 (B)pq/–7 = –14 (C)pq/2 = 49 (D)pq/14 = 7

Divide by -2: To determine if an equation is equivalent to pq = 98, we can perform the same operation on both sides of the original equation and see if we get the equation in question. Let's start with option (A): pq/–2 = –49. We divide both sides of the original equation pq = 98 by –2. pq/–2 = 98/–2 pq/–2 = –49 This matches option (A), so it is equivalent.Divide by -7: Now let's check option (B): pq/–7 = –14. We divide both sides of the original equation pq = 98 by –7. pq/–7 = 98/–7 pq/–7 = –14 This matches option (B), so it is equivalent.Divide by 2: Next, we check option (C): pq/2 = 49. We divide both sides of the original equation pq = 98 by 2. pq/2 = 98/2 pq/2 = 49 This matches option (C), so it is equivalent.Divide by 14: Finally, we check option (D): pq/14 = 7. We divide both sides of the original equation pq = 98 by 14. pq/14 = 98/14 pq/14 = 7 This matches option (D), so it is equivalent.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Select all of the equations below that are equivalent to: $\newline$ $pq = 98$ $\newline$ Use properties of equality. $\newline$ Multi-select Choices: $\newline$ (A) $\frac{pq}{-2} = -49$ $\newline$ (B) $\frac{pq}{-7} = -14$ $\newline$ (C) $\frac{pq}{2} = 49$ $\newline$ (D) $\frac{pq}{14} = 7$

View step-by-step help

Home

Math Problems

Algebra 1

Identify equivalent equations

Full solution

Q. Select all of the equations below that are equivalent to:

\newline

pq = 98

\newline

Use properties of equality.

\newline

Multi-select Choices:

\newline

(A)

\frac{pq}{-2} = -49

\newline

(B)

\frac{pq}{-7} = -14

\newline

(C)

\frac{pq}{2} = 49

\newline

(D)

\frac{pq}{14} = 7

Divide by $-2$ : To determine if an equation is equivalent to $pq = 98$ , we can perform the same operation on both sides of the original equation and see if we get the equation in question. $\newline$ Let's start with option (A): $\frac{pq}{-2} = -49$ . $\newline$ We divide both sides of the original equation $pq = 98$ by $-2$ . $\newline$ $\frac{pq}{-2} = \frac{98}{-2}$ $\newline$ $\frac{pq}{-2} = -49$ $\newline$ This matches option (A), so it is equivalent.
Divide by $-7$ : Now let's check option (B): $pq/(-7) = -14$ . We divide both sides of the original equation $pq = 98$ by $-7$ . $pq/(-7) = 98/(-7)$ $pq/(-7) = -14$ This matches option (B), so it is equivalent.
Divide by $2$ : Next, we check option (C): $pq/2 = 49$ . We divide both sides of the original equation $pq = 98$ by $2$ . $pq/2 = 98/2$ $pq/2 = 49$ This matches option (C), so it is equivalent.
Divide by $14$ : Finally, we check option (D): $pq/14 = 7$ . We divide both sides of the original equation $pq = 98$ by $14$ . $pq/14 = 98/14$ $pq/14 = 7$ This matches option (D), so it is equivalent.