This is algebra solving using substituion

c=3d - 27

4d + 10c = 120

This is algebra solving using substituion

c=3d - 27

4d + 10c = 120

Tutors, please sign in to answer this question.

Indianapolis, IN

c=3d - 27

4d + 10c = 120

4d + 10c = 120

Since we know what 'C' is equal to (Given c=3d-27), we can plug that into the second equation, giving us:

4d+10(3d-27)=120

We multiple the parenthetical out with the factor in front of it

4d+30d-270=120

Combine like terms

34d-270=120390

Add 270 from both sides:

(34d-270)+270=(120)+270

34d=390

Then we divide both sides by 34:

(34d)/34=(-390)/34

d= - 390/34

We can simplify that to:

d= 195/17

Make this a proper fraction:

d=11 8/17

Now we know the value of D!

So we plug D back into the first equation

c=3d-27

c=3(11 8/17) -27

Multiply the parenthetical:

c=34 7/17 - 27

and then combine the terms:

c =7 7/17

Hope that helped!!!

Washington, DC

Because c = 3d - 27, we can replace "c" with "3d - 27"

So in the equation 4d + 10c = 120 we can replace c (as stated above)

to get the equation 4d + 10(3d - 27) = 120

Now we have an equation with one variable and can solve for d.

4d + 10(3d - 27) = 120 [distribute]

4d + 30d - 270 = 120 [combine like terms]

34d - 270 = 120 [add 270]

34d = 390 [divide by 34]

d = 390/34 [simplify]

d = 195/17

Now to solve for c, pick either original equation, plug in the value of d, and solve for c. (The one where c is isolated is easier to use.)

c = 3d - 27

c = 3(195/17) - 27

c = 585/17 - 27

c = 585/17 - 459/17

c = 126/17

Jing X.

IVY-graduate specializing in SAT, ACT, Math and College App

Brooklyn, NY

4.9
(77 ratings)

Justin H.

Math, Computer Science, and SAT Tutoring from a Google Engineer

New York, NY

5.0
(417 ratings)

- Algebra 2 3295
- Algebra 4917
- Math 9377
- Prealgebra 167
- Algebra Help 952
- Geometry 1813
- Algebra Word Problem 2413
- Math Help 5199
- Word Problem 4946
- Precalculus 1481