Question

6y+4−3y−7=3(y−1) How many solutions are for this?

Answer 1

Answer:

Infinite amount of solutions.

General Formulas and Concepts:

• Order of Operations: BPEMDAS
• Regular + Equality Properties

Step-by-step explanation:

Step 1: Define equation

6y + 4 - 3y - 7 = 3(y - 1)

Step 2: Solve for y

1. Combine like terms:                         3y - 3 = 3(y - 1)
2. Distribute 3:                                       3y - 3 = 3y - 3
3. Subtract 3y on both sides:               -3 = -3

Here we see that there will be infinite amount of solutions. We can plug in any number y and it will render the equation true.

Answer 2

No solutions.

General Formulas and Concepts:

Order of Operations: BPEMDAS

Regular + Equality Properties

Step-by-step explanation:

Step 1: Define equation

6y + 4 - 3y - 7 = 3(y - 1)

Step 2: Solve for y

Combine like terms:                         3y - 3 = 3(y - 1)

Distribute 3:                                       3y - 3 = 3y - 1

Subtract 3y on both sides:               -3 ≠ -1

Here we see that there will be no solutions of y.