SOLUTION: I am trying to help my duahgter with her pre-algebra. Her paper only states the following: y = 2x-5 x-y = 2 She does not know the formula to figure this out. I have forgotten...

Question 181985: I am trying to help my duahgter with her pre-algebra. Her paper only states the following: y = 2x-5 x-y = 2
She does not know the formula to figure this out. I have forgotten...can you please help us?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
You can apply the "substitution method".
.
y = 2x-5 (equation 1)
x-y = 2 (equation 2)
.
Use the definition of 'y' from equation 1 and substitute it into equation 2 -- then solve for x:
x-y = 2
Substitute our definition of y:
x-(2x-5) = 2
x-2x+5 = 2
-x + 5 = 2
5 = x + 2
3 = x (solution for x)
.
Substitute the above into equation 2 and solve for y:
x-y = 2
3-y = 2
3 = y+2
1 = y (solution of y)
.
Final answer:
(x,y) = (3,1)

RELATED QUESTIONS
I am trying to help my daughter with her algebra 2 homework and we have come across :... (answered by stanbon)

I'm trying to help my sister with her pre algebra and I'm having trouble myself... (answered by rapaljer)

Trying to help my daughter with her 8th grade Pre-Algebra, we're coming up with different (answered by rahman)

I am trying to help my daughter with her Algebra and it has been a very long time since I (answered by ankor@dixie-net.com)

Hi, I am trying to help my daughter with her Algebra and forgot how to solve for the... (answered by nerdybill,Theo)

14 = 2/3(9y - 15) Please show me how to solve the problem. I am a parent trying to... (answered by tvandenberg,solver91311,MathGuyJoe)

I am trying to help my daughter Ember in her algebra class. √2^2 √8... (answered by Alan3354)

My niece is being home-schooled (8th grade) and has gotten into some algebra and geometry (answered by Targetweek,rapaljer)

I am trying to help my daughter with her math and I am needing a refresher.. how do I... (answered by Fombitz)