Question

Which answer shows this equation in standard form?

7 – 3(x – y) = –5x + 2

A.
–8x + 3y = –5

B.
–2x – 3y = 5

C.
2x + 3y = –5

D.
2x – 3y = –5

Answer 1

@leonardo0430 @dan815 @Compassionate

Answer 2

@robtobey @campbell_st @e.mccormick

Answer 3

7 – 3(x – y) = –5x + 2


Standard form is Ax +By = C

So we need to solve first
7 – 3(x – y) = –5x + 2

Distribute the -3 first.
Then subtract 7 from both sides.

Answer 4

soo -3-7 – 3(x – y) = –5x + 2-3

Answer 5

then subtract 7 so C

Answer 6

7 – 3(x – y) = –5x + 2
7 - 3x + 3y = -5x + 2
-3x + 3y = -5x - 5

Add five x.

2x + 3y = -5

Yup!

Answer 7

@leonardo0430 you were right thx
@Compassionate thank you can you still help me with 3 more questions

Answer 8

What is the x-intercept of the line with the equation 1/3x+y=-15 ?

Answer 9

@sammixboo @dan815 @panda_lover

Answer 10

To find the x-intercept, solve for x.

Answer 11

Or, we can do it graphically, which is easier. So take (1/3)x + y = -15

To find the x-intercept, replace y with zero.

(1/3)x = -15

Multiply by 1/3

3/1 * (1/3)x = 3/1 * -15

Now what will we do?

Answer 12

Generally, if you want to find the x-intercept, replace y with 0 and solve for x. Vice-versa, for the y-intercept, replace x with 0 and solve for y.

Answer 13

is it 5,0
im horrible a this subject

Answer 14

No no. \[\frac{ 3 }{ 1 } \times \frac{ 1 }{ 3 }x = -15 \times \frac{ 3 }{ 1 }\] On the left, we just multiply straight across. 3 x 1 and 1 x 3 will equal 3/3, which is just 1.

On the right, we have -15 times 3/1. This can be expressed as: \[\frac{ -15 }{ 1} \times \frac{ 3 }{ 1}\] Because putting a number over 1 does not change its value.

So, when you see something like: \[4 \times \frac{ 3 }{ 2 }\] What its really saying is: Four times Three, divided by 2.

The same concept applies here. So try again.

Answer 15

so we want to -15x3/1

Answer 16

Yes! \[\frac{ 1 }{3 }x + y = -15 \]\[\frac{ 1 }{ 3 }x + 0 = -15\] [ Since we are solving for x, replace y with 0. Thus we are left with] \[\frac{ 1 }{ 3 }x = -15\][Now, the final step is solving for x. Since 1/3 is being multiplied by x, to do the opposite, we want to multiply by the inverse of 1/3, which is 3/1. Multiplying by the inverse of a number is the same as dividing it.]

Can you do it from here? Remember, multiply both sides by 3/1

Answer 17

but i get -45 when i do -15x3, and i dont think its right

Answer 18

wait i think i got it is it 5,0

Answer 19

@Compassionate

Answer 20

\[-15 \times \frac{ 3 }{ 1} = \frac{ -15 \times 3 }{ 1 }\]

Answer 21

-15 x 3=-45 -45/1=45

Answer 22

Well, it would be negative 45.

Answer 23

so is it 45,0 i do understand you i just cant plug it in

Answer 24

No, no.

You don't need to plug in anything. Just replace y with 0, then solve for x.
We just discovered x = -45

-45/1 = -45. Not 45.

So the points are (-45, 0)

Answer 25

so i was right thats what i thought but then got confused

sorry for being so annoying thx for the help and for being patient with me

Answer 26

Mhm. Anything else you need help with?

Answer 27

umm..... let me see

Answer 28

yah i need help on equations and graphs

Answer 29

Shoot.

Answer 30

but thx ill open another page

Answer 31

no problem :) sorry i didnt have time to explain :l

Answer 32

its ok thx