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Determine the equivalent system for the given system of equations.4x − 5y = 2
3x − y = 8

4x − 5y = 2
13x − 8y = 4
4x − 5y = 2
10x + 3y = 15
4x − 5y = 2
13x − 8y = 26
4x − 5y = 2
7x + 6y = 10

Answers

Answer 1
Answer:

Answer:

4x − 5y = 2

13x − 8y = 26

Step-by-step explanation:

The equivalent system must have the same solution as the given system of equations:

4x − 5y = 2

3x − y = 8

Here we have that:

y = 3x - 8

4x - 5y = 2

4x - 5(3x - 8) = 2

4x - 15x + 40 = 2

-11x = -38

x = (38)/(11)

y = 3x - 8 = (3*38)/(11) - (88)/(11) = (26)/(11)

Now, we have to verify which of these systems have this answer:

4x − 5y = 2

13x − 8y = 4

13x - 8y = 4

13(38)/(11) - 8(26)/(11) = (286)/(11) \neq 4

4x − 5y = 2

10x + 3y = 15

10x + 3y = 15

10(38)/(11) + 3(26)/(11) = (458)/(11) \neq 15

4x − 5y = 2

13x − 8y = 26

4x - 5y = 2

4(38)/(11) - 5(26)/(11) = (22)/(11) = 2

13x - 8y = 26

13(38)/(11) - 8(26)/(11) = (286)/(11) = 26

This is the correct answer

So this is the correct answer

4x − 5y = 2

7x + 6y = 10
Answer 2
Answer:

Answer:

The answer is

(4x - 5y = 2) and (13x - 8y =26)

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Answers

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

let they meet after t hours.

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Answers

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A trapezoid is shown:





What is the area of the trapezoid?

Answers

Answer:

Area of trapezoid is:

162 cm²

Step-by-step explanation:

Area(A) of trapezoid is given by:

A=(1)/(2)* (sum\ of\ parallel\ sides)* (Height)

Here, we are given Height=9 cm

One parallel side=6 cm

Other parallel side=(12+6+12) cm

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Sum of parallel side=(6+30) cm

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Area=(1)/(2)* 36* 9

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Hence, Area of trapezoid is:

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answer
162 cm^2

Mrs Perry shares out 21 biscuits betweenGemma and Zak in the ratio 1 : 6
How many biscuits does each child get?
biscuits.
Gemma gets
biscuits and Zak gets

Answers

Answer:

Gemma gets 3 biscuits

Zak gets 18 biscuits

Step-by-step explanation:

1:6 = 1+6

= 7

1/7 * 21 = 3

6/7 * 21 = 18

Step-by-step explanation:

x+6x=21

7x=21

x=3

6x=3×6= 18

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