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.
As a first step, he starts by adding 3 to both sides of the equation, and then continues by multiplying by 7 on each side.
To solve the equation y^7 - 3 = 39, Beejal starts by adding 3 to both sides of the equation. This can be written as:
y^7 - 3 + 3 = 39 + 3
Simplifying, we have:
y^7 = 42
Next, Beejal multiplies both sides of the equation by 1/7 (the reciprocal of 7). This can be written as:
(1/7) * y^7 = (1/7) * 42
Simplifying, we have:
y^7/7 = 6
Since 7/7 simplifies to 1, the equation becomes:
y^7 = 6
Beejal can continue solving the equation from here.
To solve the equation y^7 - 3 = 39, Beejal can follow these steps:
Step 1: Adding On Both Sides
The first step is to add an appropriate number to both sides of the equation in order to isolate the variable "y" on one side.
In this case, Beejal should add 3 to both sides:
y^7 - 3 + 3 = 39 + 3
This simplifies to:
y^7 = 42
Step 2: Multiplying On Both Sides
The next step is to multiply both sides of the equation by a suitable number to eliminate any power or exponent on the variable "y". Since y is raised to the power of 7, we need to raise both sides to the power of 1/7 (or take the 7th root of both sides) to get rid of the exponent.
By raising both sides to the power of 1/7:
(y^7)^(1/7) = 42^(1/7)
This simplifies to:
y = 42^(1/7)
Therefore, by adding 3 on both sides and then multiplying by the 7th root of 42, Beejal can solve the equation y^7 - 3 = 39.