Question

A system of equations is shown below:

6x − 5y = 5
3x + 5y = 4

The x-coordinate of the solution to this system of equations is _____.

Numerical Answers Expected!

Answer for Blank 1:

Answer 1

@_adore.ki , do you understand what to do inside of this problem?

Answer 2

If not, we're gonna take a bit of time to explain what has to be done to solve.

Answer 3

no i don't understand

Answer 4

Alright then. Do you want the long but easy method or annoying and also easy method? XD

Answer 5

lol the long but easy method

Answer 6

alright, this method just needs a pen and paper.

Answer 7

You see, x is the input, and y is the output

Answer 8

All inputs and going to be the same in these situations, but the outputs different.

Answer 9

6x − 5y = 5
3x + 5y = 4

We need to find an x that would work.

Answer 10

So let's say x is 1.
6(1) − 5y = 5
3(1) + 5y = 4

Answer 11

What would y be for the equations?

Answer 12

I really don't know :(

Answer 13

hmm. Let's do this one together then.
6(1) − 5y = 5
6 - 5(.2) = 5
6 - 1 = 5

3(1) + 5y = 4
3 + 5(.2) = 4
3 + 1 = 4

As you can see, we have already arrived at the answer. However, things are not always so simple

Answer 14

The answer is 1.

Answer 15

for this whole question the answer is 1 ?

Answer 16

the solution for a system for equations is the one point where the two lines meet. both of the equations are linear, meaning they will always be in a straight line on a graph. if the x and y are same, then they have made their one and only intersection with the other equation. Thus, the solution has been found.

Answer 17

So the answer was 1 ?

Answer 18

Yes.

Answer 19

Thank you