Beejal is solving the equation y/7 − 3 = 39 .(1 point) As a first step, he starts by adding to both sides of the equation, and then continues by multiplying by on each side.
To solve the equation, Beejal starts by adding 3 to both sides. This gives:
y/7 − 3 + 3 = 39 + 3
Simplifying further, we get:
y/7 = 42
Next, Beejal multiplies both sides of the equation by 7 to isolate y. This gives:
7(y/7) = 42(7)
Simplifying further:
y = 294
To solve the equation y/7 - 3 = 39, Beejal employs two steps: adding a value to both sides and then multiplying by a value on each side. Let's break down the process:
Step 1: Adding a value to both sides
The objective here is to isolate the variable y on one side of the equation, so Beejal decides to start by adding a value to both sides. In this case, Beejal adds 3 to both sides of the equation, like this:
(y/7) - 3 + 3 = 39 + 3
The goal of this step is to simplify the equation, by canceling out the -3 on the left side and calculating the sum on the right side:
(y/7) = 42
Step 2: Multiplying by a value on each side
Now that the variable y is on one side, Beejal multiplies both sides of the equation by 7. Here's what happens:
7 * (y/7) = 7 * 42
The 7 on the left side cancels out the 7 in the denominator, leaving just y:
y = 294
So, after performing these two steps, Beejal finds that the solution to the equation y/7 - 3 = 39 is y = 294.
To solve the equation y/7 - 3 = 39, Beejal adds 3 to both sides of the equation as the first step. This is done to isolate the variable term on one side of the equation. Let's see the step-by-step process:
1. Beginning equation: y/7 - 3 = 39
Adding 3 to both sides:
(y/7 - 3) + 3 = 39 + 3
y/7 = 42
Now, to further solve the equation, Beejal needs to multiply both sides of the equation by 7.