Question

If you wanted to eliminate the y variable by adding the two equations in the following system, what could be your first step?
3x + y = 6
4x − 5y = 10

Answer 1

Isolating y in the first equation and then substituting -3x+6 for y in the second function

Answer 2

can u show me step by step

Answer 3

3x+y=6
-3x -3x
y=-3x+6
Now sustitute

Answer 4

umm
i dont know how

Answer 5

4x-5(-3x+6)=10
distribute the 5
4x+15x-30=10
combine like terms

Answer 6

4x+15x-30=10
19x=40
x=19/40

Answer 7

sorry that would be x=40/19

Answer 8

Does all that make sense?

Answer 9

yeah tank u

Answer 10

No problem :)

Answer 11

thats not an answer

Answer 12

Whats the answer then?

Answer 13

You asked for the first step. The very first step is to put the first function in y=mx+b format

Answer 14

You could always set the equations equal to each other

Answer 15

so my first step is to multipy the equation by 5

Answer 16

or to add the two equations together

Answer 17

Ohh I thought your goal was to combine and solve for x. SO you are actually do addition of the functions....

Answer 18

Multiply the first equation by 5.

Multiply the first equation by −5.

Multiply the first equation by −4.

Add the two equations together.

Answer 19

which one is the step lol

Answer 20

So by multiplying by 5 you would be able to get rid of the y by having on -5 and one positive. Well looks like you figured out the first step :)

Answer 21

so multipyln 5