Beejal is solving the equation y7 − 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.
here are all the answers:
1: 1
2: 45
3: 8
4: 9
5: 3 and 7
The missing number is 3.
So, Beejal adds 3 to both sides of the equation, resulting in:
y^7 = 39 + 3
y^7 = 42
After that, Beejal multiplies both sides of the equation by 1/7, resulting in:
(1/7)y^7 = (1/7)42
y^7/7 = 6
Therefore, Beejal's first step is adding 3 to both sides of the equation and his second step is multiplying by 1/7 on each side.
To solve the equation y^7 - 3 = 39, Beejal starts by adding 3 to both sides of the equation. This is done to isolate the y^7 term.
Step 1: y^7 - 3 + 3 = 39 + 3
Simplifying, we get:
y^7 = 42
Then, Beejal continues by multiplying by 1/7 on each side of the equation. This is done to isolate the y term.
Step 2: (1/7) * y^7 = (1/7) * 42
Simplifying, we get:
y^7/7 = 42/7
Step 3: Simplifying further, we have:
y^7/7 = 6
Therefore, the equation is simplified to y^7/7 = 6.
To solve the equation y^7 - 3 = 39, Beejal follows a two-step process.
Step 1: Adding a constant value to both sides of the equation.
The goal of adding a constant value to both sides is to isolate the variable term and simplify the equation. Here, Beejal needs to add 3 to both sides of the equation. By doing so, it cancels out the -3 on the left side, leaving only y^7 on that side, and on the right side, we get 39 + 3 = 42.
So, after adding 3 to both sides, the equation becomes y^7 = 42.
Step 2: Multiplying by a constant value on both sides of the equation.
The purpose of multiplying by a constant value is to further isolate the variable term and obtain the value of the variable. In this case, Beejal needs to multiply both sides of the equation by an appropriate value to get rid of the exponent 7 and solve for y.
To cancel out the exponent 7, Beejal should use the seventh root (∛) on both sides. Taking the seventh root of y^7 cancels out the exponent, leaving only y on the left side. On the right side, taking the seventh root of 42 gives the value of y.
Therefore, the equation after multiplying by the seventh root (∛) on both sides becomes y = ∛42.
Now, Beejal has found the value of y which is the 7th root (∛) of 42.