Question

for each value of w, determine whether it is a solution to 10 = 2w.

w	is it a solution?
2	○	○
7	○	○
3	○	○

Explanation:

Step1: Solve the equation \(10 = 2w\)

To find the solution of the equation \(10=2w\), we divide both sides of the equation by 2. So, \(\frac{10}{2}=\frac{2w}{2}\), which simplifies to \(w = 5\).

Step2: Check each value of \(w\)

• For \(w = 5\): Substitute \(w = 5\) into the equation \(10=2w\). The right - hand side is \(2\times5 = 10\), which is equal to the left - hand side. So, \(w = 5\) is a solution.
• For \(w = 2\): Substitute \(w = 2\) into the equation \(10 = 2w\). The right - hand side is \(2\times2=4\), and \(4

eq10\). So, \(w = 2\) is not a solution.

• For \(w = 7\): Substitute \(w = 7\) into the equation \(10 = 2w\). The right - hand side is \(2\times7 = 14\), and \(14

eq10\). So, \(w = 7\) is not a solution.

• For \(w = 3\): Substitute \(w = 3\) into the equation \(10 = 2w\). The right - hand side is \(2\times3=6\), and \(6

eq10\). So, \(w = 3\) is not a solution.

Answer:

• For \(w = 5\): Yes
• For \(w = 2\): No
• For \(w = 7\): No
• For \(w = 3\): No