The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below:

step 1: 2(y + 4) = 4y
step 2: 2y + 6 = 4y
step 3: 2y = 6
step 4: y = 3

which of the following explains how to correct step 2 and shows the correct value of y?

he equation should be y + 4 = 4y after division by 2; y = 5.
the equation should be y + 4 = 4y after division by 2; y = 2.
2 should be distributed as 2y + 8; y = 4.
2 should be distributed as 2y + 8; y = 2.

Option 3 rd is correct

2 should be distributed as 2y + 8; y = 4.

Step-by-step explanation:

Given an equation:

Step 1.

Using distributive property, i.e,   we have;

Step 2.

Subtract 2y from both sides we have;

Step 3.

Divide both sides by 2;

Step 4.

y = 4

Therefore, to correct Step 2 2 should be distributed as 2y + 8; and the correct value of y is, y = 4

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

but which class are u may know that first