Solve the following system of equations express your answers as an ordered pair in the format (a,b) with no spaces between the number of symbols 2x+7y=-1 4x-3y=-19

Question

contestada

Respuesta :

ACCESS MORE ACCESS MORE ACCESS MORE ACCESS MORE

Rod44 Rod44 · Answer 1 · 2017-11-16T18:07:28+01:00

Double the first equation: 4x+14y=-2 and subtract the second: 17y=17, so y=1. 2x=-7y-1=-7-1=-8, so x=-8/2=-4.
The answer is x=-4 and y=1.

Answer Link

lisboa lisboa · Answer 2 · 2019-07-05T15:14:31+02:00

Answer:

(-4,1)

Step-by-step explanation:

[tex]2x+7y=-1[/tex]

[tex]4x-3y=-19[/tex]

Solve the equations for x and y

To solve this equation, we use elimination method. we try to eliminate x

Multiply the first equation by -2

[tex]-4x-14y=2[/tex]

[tex]4x-3y=-19[/tex] (add both equations)

---------------------------------

[tex]-17y=-17[/tex]

Divide both sides by -17

y=1

Plug in y=1 in first equation and solve for x

[tex]2x+7y=-1[/tex]

[tex]2x+7(1)=-1[/tex]

[tex]2x+7=-1[/tex], subtract 7 on both sides

[tex]2x=-8[/tex]

Divide both sides by 2

x=-4

Solution (x,y) is (-4,1)