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Veseljchak [2.6K]
3 years ago
14

Solve the system of equations. -x - 3y = 20 -x + 4y = -36

Mathematics
1 answer:
zhuklara [117]3 years ago
8 0
Multiply the second equation by 1 to make it positive then add them together.
-x-3y=20
+x-4y=36
----------------
-7y=56
y=-8

Plug that into one of the equations above.
-x-3(-8)=20
-x+24=20
-x=20-24
-x=-4
x=4

So x=4 y=-8 or (4,-8)

Hope that helps

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Simplify the linear expression
vekshin1

Answer:

\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}

Step-by-step explanation:

This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of -\frac{1}{4} a would be 2, and in the case of \frac{2}{3} the value would be 2. This would result in the equation: -\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}. Then simply combine like terms to get your final answer.

5 0
2 years ago
Fresh Market is selling black truffles for $15 per ounce and white truffles for $35 per ounce. You bought a package that weighed
Katarina [22]
4oz of white truffles, unless you half to use both white and black
6 0
3 years ago
What is 1+4=5 2+5=12 3+6=21 what does 8 plus 11 equal
Paladinen [302]
This is a classic math problem, and it is not solved in a normal way.

<span>1+4=5
2+5=12
3+6=21
8+11=?

There is a pattern that can be spotted. 2+5 does not equal twelve, however 2*(2+5) does equal 12. Below is how to solve the rest of the equations:

</span>1+4=5 -> 1*(4+1)=5
2+5=12 -> 2*(5+1)=12
3+6=21 -> <span>3*(6+1)=21 </span>
8+11=? -> <span>8*(11+1)=96 
</span>
This is one way to answer the problem, HOWEVER there is another way to answer the problem that gives the SAME answer, but many people mistakenly believes it gives a different answer. If anyone tries to post the other way of doing this problem, but tells you the answer is 40, please comment on this post or message me and let me know. I will explain why the answer is actually 96 either way.
4 0
3 years ago
X and y are both bigger than 30. x and y have HCF 21 and LCM 1617. Find x and y.
Sunny_sXe [5.5K]

The values of x and y are 99 and 343

<h3>The HCF</h3>

The HCF of numbers is the highest common factors of the numbers

<h3>The LCM</h3>

The LCM of numbers is the lowest common multiple of the numbers

The HCF and the LCM are given as:

HCF = 21

LCM = 1617

Multiply the HCF and the LCM

HCF \times LCM = 21 \times 1617

HCF \times LCM = 33957

The product of the numbers x and y equals the product of the HCF and the LCM.

So, we have:

x \times y = 33957

<h3>Prime Factors</h3>

Express 33957 as a prime factor

x \times y = 3^2 \times 7^3 \times 11

Rewrite the equation as

x \times y = 99 \times 7^3

x \times y = 99 \times 343

By comparison:

x = 99

y= 343

Hence, the values of x and y are 99 and 343

Read more about HCF and LCM at:

brainly.com/question/420337

6 0
2 years ago
A village water tank measures 8m x5m x 3m. What is the capacity of the tank when full?
Bad White [126]

Answer:

Hence, the capacity of the tank when full is 120 cubic m.

Step-by-step explanation:

The measures of water tank is 8m x 5m x 3m.

The capacity of the tank when full is nothing but the capacity of the full tank which is the multiples of given dimensions.

The capacity of the tank when full is,

8m x 5m x 3m = 40 m^2 x 3m

                        = 120 m^3.

Hence, the capacity of the tank when full is 120 cubic m.

3 0
2 years ago
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