Question

Can someone be nice enough to help me please anyone ?

Answer 1

Shoot

Answer 2

Yeah what?

Answer 3

I need help solving y=2x+10 and 5y=2-6x

Answer 4

{y=2x+10
5y=2-6x

Answer 5

Is this a system of equations?

Answer 6

Honestly I see thsee types of questions pop up all the time but I cannot rember how to solve them. I need to go back and research how to do it. So I am sorry I do not know quite how to do it and I do not want to give you the wrong answer or teach you something I cannot quite remember

Answer 7

yEA

Answer 8

Okay, do you know the substitution method?

Answer 9

yea but I forgot

Answer 10

That's fine :) I'll help ya out
We know what y equals, correct?

Answer 11

yea

Answer 12

So we can substitute the first equation, what y equals, into the second equation for y

Answer 13

We take this y=2x+10 and put it into this 5y=2-6x, and end up with this 5(2x+10)=2-6x
Does that make sense so far?

Answer 14

yea then we distribute

Answer 15

Right! What do we have after distributing?

Answer 16

I think we subtract ?

Answer 17

What's the equation now after distributing?

Answer 18

y=10+50=2-6x I'm not sure

Answer 19

It would be 10x + 50 = 2 - 6x

Answer 20

Now we need to get all constants (+ 50 and + 2) onto one side of the equation and all variables (+ 10x and - 6x) onto the other side

Answer 21

It's like terms

Answer 22

How?

Answer 23

I would probably add 6x to both sides and subtract 50 from both sides :)

Answer 24

So I add 6x to 50 ?

Answer 25

But isn't subtracting both sides??

Answer 26

No, add 6x to both sides of the equals sign. 10x + 6x + 50 = 2 - 6x + 6x

On the right side of the equal sign, the - 6x and + 6x cancel each other out, so now we get
10x + 6x + 50 = 2

Answer 27

Do you understand how I did that?

Answer 28

oh yea

Answer 29

Aren't they like terms?

Answer 30

Okay, now can you do the same thing and cancel out that 50 on the left side?
Yes, 10x and 6x are like terms, so they can be combined to make 16x :)

Answer 31

I think I have to subtract 50 and 2?

Answer 32

Subtract 50 from both sides :)

Answer 33

50 and 50 cancel out

Answer 34

Yes, now 2-50 is?

Answer 35

48

Answer 36

-48

Answer 37

oh yea i forgot the sign

Answer 38

Now we can solve for x
16x = -48
how do we cancel out the *16?

Answer 39

divide 16

Answer 40

Yes!
16x/16 = x
and -48/16 =?

Answer 41

-3

Answer 42

Correct! Now, we can substitute that in for x in either equation, whichever you want to do :)

Answer 43

Just so I don't have to keep scrolling up ;)
y=2x+10
5y=2-6x

Answer 44

The top one y=2x+10

Answer 45

Now put in -3 for x, and we can solve for y

Answer 46

Don't we disturbute ?

Answer 47

There's nothing to distribute now

Answer 48

we plug in -3 to x

Answer 49

Yes, so y = 2(-3) + 10

Answer 50

now 2*-3?

Answer 51

-6

Answer 52

Yes, and -6 + 10 = ?

Answer 53

4

Answer 54

so y =4 ?

Answer 55

Yes! Now we can plug those values into the second equation just to make sure they're true for both.
5(4) = 2 - 6(-3)

Answer 56

Is it like 20=2-18?

Answer 57

Well, what is -6*-3?

Answer 58

postive 18

Answer 59

Remember, negative * negative = positive

Answer 60

Yes, so 2 + 18

Answer 61

oh yea I'm so dumb

Answer 62

No you're not :)

Answer 63

We all forget a step or 2 sometimes :)

Answer 64

2+18 = 20

Answer 65

Yep :3

Answer 66

Then we divide

Answer 67

No need to divide

Answer 68

Our equation is true, 2+18=20

Answer 69

oh

Answer 70

20 = 20

Answer 71

So the solution is
x = -3
y = 4

Answer 72

Thanks I need to do a similar another similar one I can try my best then can you check it please

Answer 73

Sure, I'm going to leave for 10-15 mins, but if you're still here, I'd be happy to check it :)

Answer 74

oh okay thanks

Answer 75

I don't get the other one