Line M is represented by the following equation: x − y = 8
Which equation completes the system that is satisfied by the solution (18, 10)?
2x − y = 26
x + y = 18
2x − 2y = 36
x − y = −28

- anonymous

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- anonymous

@angel_mejia

- Vocaloid

(18,10) tells us that x = 18 and y = 10
so, go through each answer choice one by one, and plug in x = 18 and y = 10, and see which one is true

- anonymous

c? @Vocaloid

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## More answers

- Vocaloid

nope, check your math again

- anonymous

b?

- Vocaloid

please do not guess, go through each answer choice one by one and plug in the numbers

- Vocaloid

start with the first choice:
2x − y = 26, true or false?

- anonymous

I'm having really hard time and have a huge time crunch

- Vocaloid

again, start with the first choice...
2x - y = ?

- anonymous

i don't even know where to start :c

- Vocaloid

x = 18
y = 10
2x = ?

- anonymous

36?

- Vocaloid

right, so 2x - y = ?

- anonymous

26

- Vocaloid

right.
the first choice says that 2x − y = 26, so this is our answer

- anonymous

thank u sm,can u do another plz?

- Vocaloid

sure

- anonymous

give me one sec

- anonymous

Line M is represented by the following equation: x + y = −1
What is most likely the equation for line P so the set of equations has infinitely many solutions?
2x + 2y = 2
2x + 2y = 4
2x + 2y = −2
x − y = 1

- Vocaloid

hint:
multiply x + y = -1 by 2 on both sides

- anonymous

im so confused ;c

- Vocaloid

just multiply everything by 2....
x + y = -1

- anonymous

so x+y=-1 multiplied by 2 would be 2x+2y=-2?

- Vocaloid

yes, and that's your answer

- anonymous

thank u! one more?

- Vocaloid

sure..

- anonymous

Two lines, A and B, are represented by the following equations:
Line A: y = x − 1
Line B: y = −3x + 11
Which of the following options shows the solution to the system of equations and explains why?
(3, 2), because the point does not lie on any axis
(3, 2), because one of the lines passes through this point
(3, 2), because the point lies between the two axes
(3, 2), because both lines pass through this point

- Vocaloid

hint: first multiply line A by 3

- anonymous

y=x -3?

- anonymous

@Vocaloid

- Vocaloid

not quite, you need to multiply EVERYTHING by 3

- anonymous

3y=3x-3

- Vocaloid

right, next step:
line A: 3y = 3x - 3
line B: y = -3x + 11
now add line A + line B

- anonymous

3y=0x+14

- Vocaloid

nope, check your math again...
3y + y = ?

- anonymous

im not sure

- Vocaloid

3y + y = __y
fill in the blank

- anonymous

4y

- anonymous

what does y equal?

- Vocaloid

we're about to find out!
now, when we add line A and line B together, we get 4y on the left side. and -3+11 on the right side.
so
4y = -3+11

- Vocaloid

-3+11 = ?

- anonymous

8

- Vocaloid

right.
so 4y = 8
what is y?

- anonymous

4?

- Vocaloid

4y = 8
divide both sides by 4, what do you get?

- anonymous

1,2

- Vocaloid

right, so we get y = 2

- Vocaloid

now we go to our second equation:
y = -3x + 11
now we plug in y = 2
2 = -3x + 11
what is x?

- anonymous

I'm sorry i have to go to lunch with my fan and this is my last question, can i plz just have the answer

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