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.
To solve the equation y^7 - 3 = 39, Beejal should start by adding 3 to both sides of the equation. Then, he should continue by multiplying by 1 on each side.
To solve the equation y^7 - 3 = 39, Beejal can follow these steps:
Step 1: Adding a value to both sides of the equation
To eliminate the -3 term on the left side, Beejal can add 3 to both sides of the equation:
y^7 - 3 + 3 = 39 + 3
This simplifies to:
y^7 = 42
Step 2: Multiplying by a value on each side of the equation
To isolate the variable y, Beejal needs to get rid of the exponent of 7. he can do this by taking the seventh root of both sides of the equation:
∛(y^7) = ∛42
This simplifies to:
y = ∛42
So, as a first step, Beejal adds 3 to both sides of the equation, and then continues by taking the seventh root of both sides.
To solve the equation y^7 - 3 = 39, Beejal should follow these steps to isolate the variable y:
Step 1: Adding a number to both sides of an equation helps to simplify it further. In this case, we want to add a number such that it cancels out the -3 on the left side of the equation. To do this, we add 3 to both sides:
y^7 - 3 + 3 = 39 + 3
This simplifies to:
y^7 = 42
Step 2: To further isolate the variable y, we need to get rid of the exponent 7. To do this, we will use the inverse operation, which is exponentiating both sides of the equation with the reciprocal of the exponent. In this case, we will take the 7th root of both sides:
∛(y^7) = ∛42
This simplifies to:
y = ∛42
So, to answer the initial question, Beejal should add 3 to both sides of the equation and then continue by taking the 7th root (∛) of both sides.