Answered

Solve the system algebraically. Check your work.


4x + 2y = 10

3x + 2y = 6


Make sure there are NO SPACES in your answer. Be sure to include a comma

Verified Answer :

garydesir1

Hello Tabby

We need to solve 4x+2y= 10 for x
Let's start by adding -2y to both sides
4x+2y-2y= 10-2y
4x = -2y+10
X= (-2y+10)/4
X= -1/2 y + 5/2

Now substitute -1/2 y +5/2 for x in 3x+2y=6
3( -1/2 y +5/2) +2y = 6
1/2 y + 15/2 = 6

Add -15/2 to both sides
1/2 y +15/2 -15/2 = 6-15/2
1/2 y = -3/2
Y = -3/2/1/2
Y= -3

Now substitute -3 for y in x = -1/2 y +5/2
X= -1/2 y + 5/2
X = -1/2 (-3)+5/2
X = 3/2 + 5/2
X= (3+5)/2
X=8/2
X= 4

Answer x= 4 and y= -3

I hope that's help and please if you have question feel free to ask me :)