Question

Solve the following equation. –9 = Start Fraction r over 4 End Fraction

a) r = 36
b) r = 13
c) r = nine-fourths
d) r = –36

Answer 1

The equation −9 = ⅔r can be solved by multiplying both sides by 4, which results in −36 = r. So the value of r is −36.

Step-by-step explanation:

To find the value of r in the equation −9 = ⅔r, we need to perform some algebraic operations. We want to isolate r on one side of the equation. To do that, we will undertake the following steps:

1. Multiply both sides of the equation by 4 to eliminate the denominator on the right side. This gives us -9 × 4 = r.
2. Calculate the product on the left side, which results in -36 = r.

Therefore, we have found that the value of r is −36, which corresponds to option (d).