Question

Solve this system of equations by

using the elimination method.
-
X + y = 4
4x + 3y = 24
([?], 1)

Answer 1

Answer: x = 12 and y = -8

Step-by-step 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

Answer 2

(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)

`\boxed{y = -8}`

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

`\boxed{x = 12}`