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IrinaK [193]
3 years ago
11

2x + y = 5 , x + y = 4Solve the system of linear equations.

Mathematics
1 answer:
kumpel [21]3 years ago
8 0

2x+y=5

x+y=4


We need to solve 2x+y=5 for y

let's start by adding -2x to both sides

2x+y-2x=5-2x

y=-2x+5

Now substitute -2x+5 for y in x+y=4

x+y=4

x-2x+5=4

-x+5 =4

Add -5 to both sides so we can find the value for x

-x+5-5=4-5

-x=-1

We know that x can not stay with the negative sign so to eliminate that we need to divide both sides by -1

-x/-1= -1/-1

x=1

Now we have the value for x :)

We need to find the value for y by substitute 1 for x in y=-2x+5

y=-2x+5

y= (-2)(1)+5

y= -2+5

y= 3

Final answer : x=1 and y=3

                          (1,3)


I hope that's help :)

Please let me know by rating my answer and a Thanks :0

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There are 300 seats in the theater.

Step-by-step explanation:

Given,

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Cost of one regular ticket = $8

Worth of sold out tickets = $3600

Let,

x represent the number of VIP tickets sold

y represent the number of regular tickets sold

20x+8y=3600     Eqn 1

y = 2x                   Eqn 2

Putting value of y from Eqn 2 in Eqn 1

20x+8(2x)=3600\\20x+16x=3600\\36x=3600

Dividing both sides by 36

\frac{36x}{36}=\frac{3600}{36}\\x=100

Putting x=100 in Eqn 2

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Total = x+y = 100+200 = 300

There are 300 seats in the theater.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/10633485
  • brainly.com/question/10672611

#LearnwithBrainly

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Hope it helps. Let me know.

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Ratio of areas of similar triangles is 9 : 25.

Solution:

Given data:

Ratio of sides of two similar triangles = 3 : 5

To find the ratio of areas of the triangles:

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<em>In two triangles are similar, then the ratio of their area is equal to the square of the ratio of their sides.</em>

$\text{Ratio of areas} = \frac{\text{Area of triangle 1}}{\text{Area of triangle 2} }

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Ratio of areas of similar triangles is 9 : 25.

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