Question

Which of the following sets of values is a soulution to the following system of liner expressions, 4x+y=24 x-y=-4

x=4, y=8
x=2, y=6
x=1, y=1
x=5,y=4

Please show your work :)
will mark brainliest

Answer 1

It is the first answer, x=4; y=8

Set up and add equations:
4x+y=24
+ x-y=-4

So 5x=20 (the y’s cancel)
X=4

Then substitute in 4(4)+y=24
16+y=24
Y=8

Answer 2

Answer:

x=4, y=8

Step-by-step explanation:

4x+y=24

x-y=-4

Add the two equations together to eliminate y

4x+y=24

x-y=-4

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

5x = 20

Divide by 5

5x/5 = 20/5

x = 4

We still need to find y

x-y = -4

4 -y = -4

Subtract 4 from each side

4-4-y = -4-4

-y = -8

Multiply by -1

-1 * y = -8 *-1

y= 8