SOLUTION: 2x+2y=14 y=x+3 how would I solve a problem like this?

Question 175777This question is from textbook
: 2x+2y=14
y=x+3
how would I solve a problem like this?
This question is from textbook

Answer by agosset(4) (Show Source): You can put this solution on YOUR website!
We are given the fact that y=x+3, that means we can replace the variable y on the first equation with (x+3)
2x+2(x+3)=14
Multipling the expression by 2 we get:
2x+2x+6=14
Group by equal terms, remembering to change the sign of operation if we move a term across the equal sign:
2x+2x=14-6
Add and subtract=
4x=8
We divide all by 4 to get a single x
x=2
To get the y value, we replace the value of x in y=x+3
y=2+3
Y=5
Solution:
X=2 and Y=5
We can verify our answer by replacing the value of each variable on the first equation:
2x+2y=14
2(2)+ 2(5)=14
4+10=14
14=14
RELATED QUESTIONS
I was wondering how would you solve a problem like this: log(2x+3) =... (answered by rapaljer)

How do I substitute a problem like this? y = x + 3 y = 2x +... (answered by mananth)

How would you solve a problem like this. Is this ordered pair a solution (answered by richard1234,Cintchr)

How would I go about solving a problem like this?... (answered by rapaljer)

i would like to know how to solve this problem? 14=a/6 (answered by Alan3354)

Can you please tell me if i got these correct? Im doing a practice test to study for my... (answered by Edwin McCravy,solver91311)

I really would like someone to show me how to graph this problem: {y < = -x+6 x-2y > = (answered by solver91311)

I would like to learn how to solve this problem: 2x+4=3x-4... (answered by mathwiz07)

I would like to know how to solve this problem (6x � 2x � x2) � (-10 + 4x �... (answered by mananth)