Question

tell which value of the variable is the solution of the equation.
42 ÷ c = 3; c = 1, 2, 3, 6
which of the following is the solution of the equation?
a. 1
b. 6
c. 3
d. 2
e. no solution is given in the set of values.

Explanation:

Step1: Analyze the equation

We have the equation \(42\div c = 3\). To find the value of \(c\) that satisfies this equation, we can solve for \(c\) by multiplying both sides by \(c\) (assuming \(c
eq0\)) and then dividing both sides by 3. So, \(42=3c\), and then \(c = \frac{42}{3}=14\). But we also can check the given values one by one.

Step2: Check \(c = 1\)

Substitute \(c = 1\) into the equation: \(42\div1 = 42
eq3\). So \(c = 1\) is not a solution.

Step3: Check \(c = 2\)

Substitute \(c = 2\) into the equation: \(42\div2 = 21
eq3\). So \(c = 2\) is not a solution.

Step4: Check \(c = 3\)

Substitute \(c = 3\) into the equation: \(42\div3 = 14
eq3\). So \(c = 3\) is not a solution.

Step5: Check \(c = 6\)

Substitute \(c = 6\) into the equation: \(42\div6 = 7
eq3\). So none of the given values (\(c = 1,2,3,6\)) satisfy the equation.

Answer:

E. No solution is given in the set of values.