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AlekseyPX
3 years ago
10

What is the solution (a, c) to this system of linear equations?

Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0
Method:

Simultaneous equations

Explanation:

First we will need to get both equations to have the same subject, to do this we will multiply the bottom equation by 2.

1) 2a-3c=-6

2) a+2c=11 x2
Becomes
2) 2a+4c=22

Now we will make both equations equal to the same subject (2a)

1) 2a=3c-6
2) 2a=-4c+22

Because they are both equal to 2a, they are therefore equal to each other, so:

3c-6=-4c+22
7c=28
c=4

Now substitute c back into either equation to get a:

a+2c=11
a+2(4)=11
a=3
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Question: What is the volume of the box? Explain how you found your solution.
Vikki [24]

The volume of the box is 100 cubic meter.

Step-by step explanation:

Given data:

Length of the box = 10 m

Width of the box = 5 m

Height of the box = 2 m

<u>To find the volume of the box:</u>

Volume of the box = length × width × height

                               = 10 m × 5 m × 2 m

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8 0
4 years ago
Evaluate ​2(L+​W)<br> for L=10 and W= 2
arsen [322]

Answer:

24

Step-by-step explanation:

2(10+2)

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2 years ago
Kylie explained that (negative 4 x 9) squared will result in a difference of squares because (negative 4 x 9) squared = (negativ
JulijaS [17]

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression. Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Given information-

The expression for the given problem is,

(-4x+9)^2

<h3>Perfect square trinomial</h3>

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression.

The perfect square trinomial can be given as,

ax^2+bx+c

The given expression can be solved as,

(-4x+9)^2=(-4x+9)\times(-4x+9)\\(-4x+9)^2=-4x(-4x+9)+9(-4x+9)\\(-4x+9)^2=16x^2-36x-36x+81\\(-4x+9)^2=16x^2-72x+81

Hence Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Learn more about the perfect square trinomial here;

brainly.com/question/88561

3 0
2 years ago
You wash dishes for a chemistry laboratory to make extra money for laundry. You earn 12 dollars/ hour, and each shift lasts 75 m
melomori [17]
It would pay with 3 loads
8 0
3 years ago
Read 2 more answers
Evaluate. 1. for x=-3 and y=2
Sveta_85 [38]
<h3>Given:</h3>

X = - 3

Y = 2

2^ x^ y^

=2^ (-3)^ (2)^

= (-6)^(2)

<h3>= -12</h3>
3 0
2 years ago
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