Question

Can someone help me with substitution? Anyone?

Answer 1

No problems.

Answer 2

Hi there!
Welcome to Openstudy! :D
Please post your question so that we can assist u :)

Answer 3

Y=5x-7
Y=3/2x+6

Answer 4

Okay if you have that and we know that obviously y=y then we can also show that 5x-7=3/2x+6, correct?

Answer 5

Okay if you have that and we know that obviously y=y then we can also show that 5x-7=3/2x+6, correct? \[5x-7=\frac{ 3 }{ 2x }+6\]

Answer 6

Can you then solve for x?

Answer 7

Ok well when we use the susbtistuion mthod we basically substitue a given value into one of the equations lets call
Equation A - Y=5x-7
Equation B-Y=3/2x+6
Y value is given you can sub either equation into each other for now lets sub equation A into equation B
\[\huge~\rm~5x-7=3/2x+6\]

Answer 8

Now all you do is solve for x if you need help with that ill be glad to help ^_^

Answer 9

How would I solve for x though? First I know I could add 7 to both sides making the equation 5x=3/2x+13 but then idk how to cancel the x's

Answer 10

well subtract the x's from both side :)
5x-3/2x=?

Answer 11

But wait XD the x is connected to the 3/2 fraction. You can't subtract it 😭

Answer 12

ignore the x's for now

Answer 13

lol k

Answer 14

5-3/2=?

Answer 15

Hmmm but then 3/2 is still a fraction tho O:

Answer 16

You can subtract fraction :o did u know that?? :D

Answer 17

Hmmm but then 3/2 is still a fraction tho O:

Answer 18

o.O

Answer 19

LOL MY BAD. would it be like 5/1 - 3/2?

Answer 20

LOL MY BAD. would it be like 5/1 - 3/2?

Answer 21

ok let me just explain this one to u
Ok well when we use the substitution method we basically substitute a given value into one of the equations lets call
Equation A - Y=5x-7
Equation B-Y=3/2x+6
Y value is given you can sub either equation into each other for now lets sub equation A into equation B
\[\huge~\rm~5x-7=3/2x+6\]
We add 7 to both sides
\(\huge\color{red}{5x=3/2x+13}\)
Then we subtract x's from both sides
For x we get 26/7
Then we substitute the value of x into Equation A
\[\huge~\rm~5(26/7)-7\]
Once you simplify you get
y=81/7

Answer 22

(26/7,81/7)

Answer 23

How did you get 26/7 (sorry I just really don't understand) 😭😭😭😭

Answer 24

\(y=5x-7\)

\( y=\dfrac{3}{2}x+6\)

Since y = y, we can set the right sides equal to each other and solve for x.

\(5x - 7 = \dfrac{3}{2}x + 6\)

\(5x - \dfrac{3}{2}x + 13\)

\(\dfrac{10}{2}x - \dfrac{3}{2}x = 13\)

\(\dfrac{7}{2} x = 13\)

\(x = \dfrac{26}{7}\)

Now that we know what x is, we plug in the value we have for x into the first original equation to find y.

\(y = 5(\dfrac{26}{7}) - 7\)

\(y = \dfrac{130}{7} - \dfrac{49}{7} \)

\(y = \dfrac{81}{7} \)

Answer 25

Thats what i did

Answer 26

@Pooja195
You wrote:
"We add 7 to both sides
5x=3/2x+13
Then we subtract x's from both sides
For x we get 26/7"

I'm not as smart as you, so it takes me a few more steps than it took you to find what x was equal to. Since the poster asked how you got 26/7 for x, I thought I'd show the extra steps it took me to find x.

Answer 27

Never said i was a smart person. Just didnt realize the difference thanks for explaining.