Question

3x-y=7
2x-2y=2
Find for x and y?

Answer 1

Alright. *^.^* Do you know how to simplify?

Answer 2

No/:

Answer 3

It's ok. Would you like me to show you the steps?

Answer 4

@WonderlandKy , this is the same process as the other one I showed you. Solve the first equation for either x or y (your choice), and THEN substitute/plug that value you just got for x or y into either of the two equations to solve for the other variable.

Answer 5

Yes please c: I had asked a question before and had been going off that example but it closed and won't let me open it again/:

Answer 6

@TOMWALK yes, I had gone off that example for a few others but it wouldn't let me open the question back up/: Thank you so much!c:

Answer 7

Here's the previous example:

13x-2y=70
2x-2y=4

1) 13x-2y=70 --> rearrange to get 2y = 13x-70
Substitute that value for 2y into the 2nd equation:
2x-2y=4
2x - (13x-70) = 4
2x - 13x + 70 = 4
-11x = -66
x = 6

2) Now substitute this value for x into EITHER of the two original equations to solve for y...
13x-2y = 70
13(6) - 2y = 70
78 - 2y = 70
-2y = -8
y = 4

Solution set:
{6,4}

Answer 8

@TOMWALK Thank you!:D

Answer 9

Have you studied solving systems of equations by other methods other than substitution, such as elimination? There are other ways to solve these types of systems of equations. I could show you.

Answer 10

solving for y:
3x-y=7
-3x -3x

-y = -3x + 7
/-1 /-1
~~~~~~~~~~
y = 3x - 7
~~~~~~~~~~
now to solve for x on the same original equation:

3x-y=7
+y +y

3x = y + 7
/3 /3
~~~~~~~~~~~~
x = y/3 + 7/3
~~~~~~~~~~~~

***********************************************************************

solving for y:
2x-2y=2
-2x -2x

-2y = -2x + 2
/-2 /-2
~~~~~~~~~
y = x - 1
~~~~~~~~~

now solving for x:
2x-2y=2
+2y +2y

2x = 2y + 2
/2 /2
~~~~~~~~
x = y + 1
~~~~~~~~

Answer 11

Yes, please c:

Answer 12

Thank you @arabpride so much c:

Answer 13

You're Very Welcome *^.^*

Answer 14

You can also solve these types of problems by simply adding them to eliminate. For example:

You start with:
3x-y=7
2x-2y=2

MULTIPLYING THE ENTIRE TOP EQUATION BY -2 WILL RESULT IN THE Y-TERM CANCELLING OUT WHEN YOU ADD THE TWO EQUATIONS TOGETHER:
-2(3x-y=7)
+2x-2y=2

-6x+2y=-14
+2x-2y=2

-4x=-12
x = 3

NOW, take this X value and plug it/substitute it into EITHER of the original two equations to solve for Y.

Answer 15

Remember that you actually need to come up with an integer solution set. So X = some integer and Y = some integer. Your final answer needs to be in that format. In other words, your final answer for X should not contain the variable Y, and vice versa. It should just be a number (an integer).