Question

what is the first appropriate step for isolating k in the equation $h = \frac{k + j}{l}$?
a. divide both sides by l
b. multiply both sides by l
c. add j to both sides
d. subtract j from both sides
which operation would typically be used first when solving the equation $3x + 5 = 20$ for x?
a. addition
b. subtraction
c. multiplication
d. division

Explanation:

Step1: Analyze first equation

The equation is \( h = \frac{k+j}{l} \). To isolate \( k \), eliminate the denominator first.

Step2: Choose operation for first equation

Multiply both sides by \( l \): \( h \times l = k + j \), which removes the denominator. So option b is correct.

Step3: Analyze second equation

The equation is \( 3x + 5 = 20 \). To isolate \( x \), first eliminate the constant term.

Step4: Choose operation for second equation

Subtract 5 from both sides: \( 3x = 15 \), which simplifies the equation. So option b is correct.

Answer:

b. Multiply both sides by \( l \)
b. Subtraction