Question

y - 2x = 3
3x - 2y = 5

solve by substitution. help? :/

Answer 1

so basically, in substitution you want to solve for one variable in one of the equations

Answer 2

x=1 and y=5

Answer 3

so for example, y - 2x = 3 becomes y = 2x+3. then substitute y in the second equation as 2x+3 so 3x - 2y = 5 becomes 3x - 2(2x+3) = 5

Answer 4

Solve for x. Then plug in the answer from x to find y. You should get anirud's answer

Answer 5

Multiply The Equation 2x-y=3 with 2 and Assume it as Equation One and Take 3x-2y=5 as Equation 2 and Subtract 1-2 And Eliminate The y term and then U will Get The Value of x... Then Put the value of x in anyone of the Two Equations and U will get y

Answer 6

You might want to make a note of this one:
Whenever they ask you TO SOLVE WITH SUBSTITUTION:
Either of the 2 equations, check which one looks simpler:
y - 2x = 3
3x - 2y = 5
Wouldn't you say equation 1 looks more simple? :)
So, just take the value y in terms of x:
y = 3 + 2x.
Then put the value of y in the second equation, so we have:
3x-2(3+2x) = 5
3x -6 -4x=5
-x -6=5
Take -x to the other side to get x, and bring 5 to the other side to get -5,
-6-5=x
-11=x.
This is our first answer, let us substitute the value of x in equation 1.
y-2(-11)=3
y+22=3
y=3-22
y=-19
So now we have the answer as: x=-11 and y=-19.
Please let me know if you have any more doubts about this kind of question or anything else, I will try to explain as clearly as I can. :)