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amid [387]
3 years ago
7

4x + 2y = 2 2x + y = 4 Step by step explanation please

Mathematics
2 answers:
k0ka [10]3 years ago
8 0

Step-by-step explanation:

by using substitution method

4x+2y=2-----i

2x+y=4-------ii

make y the subject of the formula in equation ii

2x+y=4

y=4-2x------iii

substitute equation iii into equation i

4x+2y=2

4x+2(4-2x)=2

4x+8-4x=2

collect like terms

4x-4x=2-8

0=-6

actually they're no solutions to this simultaneous equation

Harlamova29_29 [7]3 years ago
4 0

Answer:

No solutions

Step-by-step explanation:

4x + 2y = 2

2x + y = 4

we need to evaluate for y is "2x + y = 4" to be able to solve this.

2x + y = 4

2x - 2x + y = 4 - 2x

y = -2x + 4

4x + 2y = 2

4x + 2(-2x + 4) = 2

4x -4x + 8 = 2

8 = 2

NO solutions

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A tower casts a shadow 11 feet long the distance from the top of the tower to the end of the the shadow is 61 feet how many feet
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In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that
leonid [27]

Given:

Number of students who has a cat and a dog = 5

Number of students who has a cat but do not have a dog = 11

Number of students who has a dog but do not have a cat = 3

Number of students who neither have a cat nor a dog = 2

To find:

The probability that a student has a cat given that they do not have a dog.

Solution:

Let the following events:

A = Student has a cat

B = Do not have a dog

Total number of outcomes is:

5+3+11+2=21

The probability that a student has a cat but do not have a dog is:

P(A\cap B)=\dfrac{11}{21}

The probability that a student do not have a dog is:

P(B)=\dfrac{11+2}{21}

P(B)=\dfrac{13}{21}

The conditional probability is:

P\left(\dfrac{A}{B}\right)=\dfrac{P(A\cap B)}{P(B)}

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