I'm seriously confused and I need help on setting this up.

How do you solve it and please explain the steps.

I'm seriously confused and I need help on setting this up.

How do you solve it and please explain the steps.

Tutors, please sign in to answer this question.

Middletown, CT

Hi Salma;

I love these questions! Thank you!

x=smaller number

y=larger number

x+y=12

y=3x-6

Let's begin with the first equation...

x+y=12

Let's substitute...

x+(3x-6)=12

4x-6=12

Let's add 6 to both sides as we proceed to isolate x...

6+4x-6=12+6

4x=18

Let's divide both sides by 4...

(4x)/4=18/4

x=9/2=4.5---smaller number

12-4.5=7.5---larger number

Let's check our work.

3x-6=y

3(4.5)-6=7.5

13.5-6=7.5

7.5=7.5

Hun K.

Educational Psychologist for Math, Statistics, SPSS, etc.

Bayside, NY

4.8
(35 ratings)

Shelli D.

Effective and Patient Special Education/General Education Tutor

Springfield Gardens, NY

Abigail M.

K-12, NYS Regents, AP/IB Exam Tutor for Math and Physics

New York, NY

3.5
(2 ratings)

- Word Problem 4935
- Integers 153
- Math 9340
- Math Help 5173
- Algebra 2 3294
- Algebra Word Problem 2403
- Word Problems 1443
- Quadratic Equations 494
- Equation 378

## Comments