-4x+3y=-24

-5x+y=-19

-4x+3y=-24

-5x+y=-19

Tutors, please sign in to answer this question.

Broomfield, CO

Solve using substitution

-4x + 3y = -24

-5x + y = -19

- Start by rearranging one of the equations in terms of a variable
- Lets choose the bottom equation and solve for y

- Add 5x to both sides

y = 5x - 19

- Now replace y in the top equation with 5x - 19

-4x + 3(5x - 19) = -24

- Distribute the 3 across the parentheses

- Combine like terms then add 57 to both sides

11x - 57 + 57 = -24 + 57

11x = 33

- Now divide both sides by 11

x = 3

- Finally, we can substitute our value for x in the bottom equation

y = 5x - 19

y = 5(3) - 19

y = 15 - 19

y = -4

x = 3, y = -4

Woodland Hills, CA

-4X + 3Y = -24

-5x + Y = -19

Let's solve for Y in terms of X from the 2nd equation:

Y = 5x -19

Plug in the Y in 1st equation:

- 4X + 3( 5X - 19) = -24

-4X + 15X - 57 = -24

11 X = 57 -24 = 33 X = 3

Plug in X into 1st equation:

-4(3) +3Y = -24

3Y = -24 + 12 = -12 Y = -12 /3 = -4 Y= -4

Middletown, CT

Hi Lindsay;

-4x+3y=-24

-5x+y=-19

-5x+y=-19

Let's isolate one variable.

The second equation is easier.

-5x+y=-19

Let's add 5x to both sides...

5x-5x+y=5x-19

y=5x-19

Let's plug this into the first equation...

-4x+3y=-24

-4x+[(3)(5x-19)]=-24

-4x+[(3)(5x-19)]=-24

Let's distribute the 3 within the brackets...

-4x+(15x-57)=-24

-4x+15x-57=-24

Let's combine like terms...

11x-57=-24

Let's add 57 to both sides...

57+11x-57=-24+57

11x=33

Let's divide both sides by 11...

(11x)/11=33/11

Let's plug this into either equation to establish y. I randomly select the first...

-4x+3y=-24

[(-4)(3)]+3y=-24

[(-4)(3)]+3y=-24

-12+3y=-24

3y=-12

Let's plug both values into the second equation to verify...

-5x+y=-19

[(-5)(3)]+(-4)=-19

-15-4=-19

-19=-19

It works!

Kevin S.

Personalized Tutoring Services

Brooklyn, NY

5.0
(97 ratings)

Essa R.

Medical Student

Nutley, NJ

5.0
(3 ratings)

Gilant P.

Miss Gil: Cares & Gets Results - Regents, SAT & NYS ELA & Math Exams

Jamaica, NY

4.8
(1377 ratings)

- Algebra 2 2610
- Math 6455
- Algebra 3526
- Prealgebra 133
- Geometry 1297
- Algebra Help 848
- Algebra Word Problem 1846
- Math Help 3796
- Precalculus 1132
- Quadratic Formula 123

Find a tutor fast. Get the app.

Are you a tutor? Get the app for tutors

© 2005 - 2016 WyzAnt, Inc. - All Rights Reserved