Question

Two lines, A and B, are represented by the following equations:

Line A: 3x + 3y = 12
Line B: x + y = 4

Which statement is true about the solution to the set of equations?

It is (12, 4).
There are infinitely many solutions.
It is (4, 12).
There is no solution.

Answer 1

please help

Answer 2

Hint:
If I divide both sides of the first equation, by 3, I get:
\[\begin{gathered}
\frac{{3x + 3y}}{3} = \frac{{12}}{3} \hfill \\
\hfill \\
x + y = 4 \hfill \\
\end{gathered} \]

Answer 3

is is it B

Answer 4

namely:
line A and line B are two identical lines

Answer 5

that's right!
Your answer is correct!

Answer 6

yay can you help me on another one?

Answer 7

ok!

Answer 8

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

Answer 9

@Michele_Laino can you help

Answer 10

yes!

Answer 11

for example, if I set x= 3 into the first equation, I get:
y=3-2=...
what is y?

Answer 12

oops...I get:
y=3-1=...

Answer 13

what is y?

Answer 14

2?

Answer 15

ok! So point (3,2) belongs to the first line

Answer 16

I think it is D

Answer 17

Now, if I set x=3, into the second equation, I get:
y=-3*3+11=...
what is y?

Answer 18

that's right! Your option is the correct one!

Answer 19

yay last one

Answer 20

yes!

Answer 21

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

Answer 22

for example, if I set x=18 and y=10 into the last equation, I get:
left side = 18-10=8
right side = -28
so 8 = -28 which is a false statement

Answer 23

Is it B then because 10+8=18

Answer 24

B, no since we have:
left side = x+y=18+10= 28
and
right side = 18

Answer 25

then C

Answer 26

or A

Answer 27

why A?

Answer 28

hint:
left side =2x-y=2*18 -10 =...
please complete

Answer 29

what is
2*18 -10=...?

Answer 30

26

Answer 31

Sorry this is really hard I don't know this but how you are explaining I am understanding

Answer 32

You still there???

Answer 33

@Michele_Laino

Answer 34

So it is C?

Answer 35

A is correct And thanks got a hundred percent

Answer 36

no, it is A, since the left side is 26, as you have computed, and the right side is 26 too

Answer 37

thanks! :)
congratulation for your ratings!

Answer 38

np have a great day

Answer 39

:)