Answered

Get the most out of your questions with IDNLearn.com's extensive resources. Discover in-depth answers to your questions from our community of experienced professionals.

Solve this system of equations by
using the elimination method.
-
X + y = 4
4x + 3y = 24
([?], 1)

Sagot :

DubiousBunidn
Answer: x = 12 and y = -8

Explanation:
x + y = 4
4x + 3y = 24
———————
-3(x + y = 4)
4x + 3y = 24
———————-
-3x - 3y = -12
4x + 3y = 24
———————
x = 12

If x = 12
x + y = 4
12 + y = 4
y = -8
Devishri1977idn

Answer:

(12 , -8)

Step-by-step explanation:

Solving system of equation:

   Elimination method

                x + y = 4 ---------------(I)

              4x + 3y = 24 ---------------------(II)

Multiply equation (I) by (-4) and then add the equations. By doing this, 'x' will be eliminated and we can find the value of 'y'.

(I) *(-4)           -4x - 4y = -16

(II)                   4x + 3y = 24   {Now add}

                             -y   = 8

                              y   = 8/(-1)

         [tex]\boxed{y = -8}[/tex]

Plugin y =-8 in any of the equations. Here , we are going to plugin  equation (I)

        x + (-8) = 4

            x - 8 = 4

                  x = 4 + 8

           [tex]\boxed{x = 12}[/tex]

Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.