Question

Solve the system of equations using the elimination method. Enter the answer as an ordered pair.-3y=x-5 x+5y=7

Answer 1

if the number has a letter next to it means multiply

Answer 2

so (9,25)?

Answer 3

sorry but thats all can say.

Answer 4

Let's do this...take:

-3y=x-5

And subtract x from both sides. What does that give you?

Answer 5

-3y=-5

Answer 6

BOTH sides.

You have to subtract x from the left side, too, not just the right side.

Answer 7

5y=7

Answer 8

-3y-5 and 5y=7

Answer 9

No...we're just working with the first equation for now

-3y=x-5

T subtract x from BOTH SIDES OF THE "=" SIGN,

-3y-x=x-x-5

Which leaves
-3y-x=-5

THAT is what is meant by subtracting x from both sides. Essentially, you just flip the sign and move it to the other side. Do you see that?

Answer 10

yes

Answer 11

Okay.
Here is the step where we do "elimination". Take the equation you just worked on and add it to the second equation this way:
5y+x=7
-3y-x=-5

BTW, adding negative numbers is the same as subtracting them.

What do you get when you do this?

Answer 12

5y + -3y is the same as 5y - 3y, so you have 3 terms to solve:
5y - 3y = ?
x - x = ?
and on the other side,
7 - 5 = ?

Answer 13

(2,2)?

Answer 14

y=2 x=1 7-5=2

Answer 15

7-5 does equal 2
5y-3y does not equal 2. It equals 2y. There's a MAJOR difference between "2" and "2y"
x-x does not equal 1
What does x-x equal?

Answer 16

5y-3y=2y
x-x=0
7-5=2

SO:
5y+x=7
-3y-x=-5
----------
2y+0=2
Or simply:
2y=2

Now...can you tell me the value of y if 2y=2?