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Reil [10]
3 years ago
7

A system of linear equations for the variables x and y is shown.

Mathematics
1 answer:
love history [14]3 years ago
7 0

Answer: -3

Step-by-step explanation:

Given

Equations of the lines are

y=-x-4\\3y=cx-18

For the system of linear equation a_1x+b_1y=c_1,a_2x+b_2y=c_2 has no solution if

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}

Rewrite the equations

x+y=-4,\ cx-3y=18

Insert the values for the no solution condition

\Rightarrow \dfrac{1}{c}=\dfrac{1}{-3}\\\\\Rightarrow c=-3

Therefore, for c=-3, the system of linear equation ha no solution.

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(07.02 MC)
BigorU [14]

Y=6 In this equation you also use combine like terms .

3 0
3 years ago
. The volume of a box is 405 cubic units. The length is x units, the width 4 units greater than the length, and the height is 9
lukranit [14]

Answer:

length = 5

width = 9

Step-by-step explanation:

V = lwh

let 'x' = length

let '4+x' = width

9 = height

405 = 9x(4+x)

405 = 36x + 9x²

this is a quadratic equation:  9x² + 36x - 405 = 0

factor out a 9 to get:

9(x² + 4x - 45) = 0

9(x-5)(x+9) = 0

one root is 5 and the other is -9

since distance cannot be negative we use 5 as the length and 9 is the width

3 0
3 years ago
A garden table and a bench cost $600 combined. The cost of the garden table is three times the cost of the bench. What is the co
Sonja [21]
This is how I'd solve it:

bench = x           x+3x=600 
table = 3x               4x=600
                                 x=150

The bench costs <u>$150</u> and the table costs <u>$450</u>; combined, they cost $600, so it's correct. I hope this helps you!
3 0
3 years ago
Read 2 more answers
Why does my sister hate me?
Nata [24]

Answer:

Sister Are Like That Sometimes, Give her Time!

Step-by-step explanation:

Bigger siblings- especially girls- love their private time. If your sister seems annoyed, I suggest you just walk away. If she gets upset, agree with her argument. As a bigger sister myself, sometimes we just want nothing more than to be alone. Have you told your parents about this? Siblings need a reminder that they aren't always in charge. Tell your sister that you appreciate her, and that if she ever needs help going through anything, you're there for her. I understand this isn't the easiest, but that's how you can better connect with her.

8 0
3 years ago
Please answer this correctly
Dahasolnce [82]

Answer:

9 5/7

Step-by-step explanation:

You add all the 13/14 then divided it by 14

Then add all the while numbers then add then add them all together

8 0
3 years ago
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