annarain2004 annarain2004
  • 01-02-2019
  • Mathematics
contestada

What is solution for the following system of equations, 2x+8y=4 and x=-3y+5

1) X=14 Y=-3
2) X=2 Y=-3
3) X=-3 Y=-3
4)X=12 Y=5

Respuesta :

MrsStrong
MrsStrong MrsStrong
  • 01-02-2019

Answer:

1) x=14 and y=-3

Step-by-step explanation:

To solve the system of equations, substitute x = -3y+5 into the equation 2x + 8y = 4 for x. This becomes 2(-3y+5) +8y = 4. To solve, apply the distributive property, combine like terms and isolate y.

2(-3y+5)+8y=4

-6y+10+8y=4

10+2y=4

10-10+2y=4-10

         2y=-6

          y=-3

Then to find x, substitute y =-3 into x =-3y+5.

x = -3(-3) + 5

x = 9 + 5

x = 14

Answer Link

Otras preguntas

Find the value of n.
what is Romeo first character impressions? the story called Romeo and Juliet
The perimeter of a rectangular parking lot is 368 m. If the width of the parking lot is 86 m, what is its length?
F(x)=x^2. What is g(x)?
who are all the founding fathers
A tree breaks due to storm and the broken part bends, so that the top of the tree touches the ground making an angle of 60 degree with the ground. The distance
100 points + brainiest A pharmacist mixed 10 grams of a 15% medicine solution with 25 grams of a 10% medicine solution. How many grams is the mixture that the
While washing her hair, Olivia noticed that she was losing a lot of hair. She visited a clinic, and the physician reassured her that her hair would grow back. H
In the regular decagon shown, what is the measure of angle 1?
Hello people ~factorise : 5x²+16x+3​