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4 years ago

Solve they system of equations by graphing x+2y=6, 2x+4y=36

Mathematics

2 answers:

Kay [80]4 years ago

5 0

$\left\{\begin{array}{ccc}x+2y=6\\2x+4y=36\end{array}\right\\====================\\\\x+2y=6\\y-intercept\ (x=0)\\0+2y=6\\2y=6\\y=3\to(0;\ 3)\\x-intercept\ (y=0)\\x+2(0)=6\\x=6\to(6;\ 0)\\-----------------$

$2x+4y=36\\y-intercept\ (x=0)\\2(0)+4y=36\\4y=36\\y=9\to(0;\ 9)\\x-intercept\ (y=0)\\2x+4(0)=36\\2x=36\\x=18\to(18;\ 0)$

$The\ graph\ on\ the\ picture.\\\\Th lines\ are\ parallel.\ Conclusion:NO\ SOLUTION$

matrenka [14]4 years ago

4 0

You won't have to graph these equations in order to solve them.

Ok, x+2y=6, therefore x=6-2y.

2x+4y=36, so plug the value x (in terms of y) right into this equation.

2(6-2y)+4y=36

12-4y+4y=36. 12 is not equal to 36 so the problem breaks down.

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fomenos

Answer: each person gets 2 slices of pizza

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4 years ago

What is the area model for 821 x 54

Kay [80]

4,334 Is The Answer

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3 years ago

If 541 people use the swimming pool and children pay 1.75 dollars and adults pay 2.25 and in total earned was 1041.25 how many c

Zina [86]

Answer:

352 children

Step-by-step explanation:

Solve algebraically using a system of equations

Assign variables

let "a" be the number of adults

let "c" be the number of children <-- We want to find this

a + c = 541 Equation for number of people

2.25a + 1.75c = 1041.25 Equation for money

Rearrange the equation for people. Isolate the variable you don't want to find.

a = 541 - c

Substitute "541 - c", replacing "a", in the equation for money

2.25a + 1.75c = 1041.25

2.25(541 - c) + 1.75c = 1041.25 Distribute over brackets

1217.25 - 2.25c + 1.75c = 1041.25 Collect like terms

1217.25 - 0.5c = 1041.25 Simplified equation

Start isolating "c". Move anything that's not "c" to the right side. Move numbers in reverse BEDMAS order. That means we will add/subtract before dividng/multiplying. When moving a number, do its reverse operation to the entire equation.

1217.25 - 0.5c = 1041.25 Do the reverse of positive 1217.25

1217.25 - 1217.25 - 0.5c = 1041.25 - 1217.25 Subtract 1217.25 on both sides

-0.5c = -176 Do the reverse of multiplying by -0.5

-0.5c/-0.5 = -176/-0.5 Divide both sides by -0.5

c = 352 Number of children

Therefore, there were 352 children in the pool.

5 0

4 years ago

Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Debnil have?

forsale [732]

Debnil have 2 tablespoons to salt.

Step-by-step explanation:

Given,

Number of teaspoons of salt = 6

Ratio of teaspoons to tablespoons = 3:1

Let,

x be the number of tablespoon of salt for 6 teaspoons.

Ratio of teaspoons to tablespoons = 6:x

Using proportion

Ratio of teaspoons to tablespoons :: Ratio of teaspoons to tablespoons

$3:1::6:x$

Product of mean = Product of extreme

$6*1=3*x\\6=3x\\3x=6$

Dividing both sides by 3

$\frac{3x}{3}=\frac{6}{3}\\x=2$

Debnil have 2 tablespoons to salt.

Keywords: ratio, proportion

Learn more about proportion at:

#LearnwithBrainly

5 0

3 years ago

How high up on the wall will a 20-foot ladder touch if the foot of the ladder is placed 5 feet from the wall? Round to the neare

Maurinko [17]

Use Pythagorean theorem
a2 + b2 = c2
x2 + 5^2 = 20^2
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x^2 = 375
x = 19.4 feet

7 0

2 years ago

Read 2 more answers