-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!

Evan F.

Mathematics graduate looking to enhance your mathematics ability.

Cambria Heights, NY

4.9
(315 ratings)

John P.

Tutor of math and physics, recent college graduate

Short Hills, NJ

5.0
(21 ratings)

- Algebra 2 3437
- Algebra 5020
- Math 9714
- Prealgebra 170
- Algebra Help 964
- Geometry 1873
- Algebra Word Problem 2462
- Math Help 5380
- Word Problem 5059
- Precalculus 1531