Hi! The work I have is solving linear equations with fractions, i only have practice exercises so they should probably be a bit

Question

3 years ago

6

Hi! The work I have is solving linear equations with fractions, i only have practice exercises so they should probably be a bit

simple, shown work would be appreciated <3
Just 4 questions
1) y / 3 + 6 = -3 / 2
2) -2 / 3 r - 3 = 3
3) 2 / 3 - 2x = x
4) 7x / 2 + -5 / 2 = 9/2
I’ll add a photo of the problems in a simple format

Mathematics

1 answer:

PtichkaEL [24] · Answer 1 · 2023-03-04T21:46:57+03:00

The value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2

<h3>How to solve the variables?</h3>

Multiply through by 3

y + 18 = -9/2

Subtract 18 from both sides

y = -18 - 9/2

Take LCM

y = (-18 * 2 - 9)/2

Evaluate

y = -45/2

Multiply through by 3

-2r - 9 = 9

Add 9 to both sides

-2r = 18

Divide by 2

r = -9

Multiply through by 3

2 - 6x = 3x

Add 6x to both sides

2 = 9x

Divide by 9

x = 2/9

Multiply through by 2

7x - 5 = 9

Add 5 to both sides

7x = 14

Divide by 7

x = 2

Hence, the value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2