4x + 2y = 5?

Question

4x + 2y = 5 ; 13x - 3y = 2

Answer 1

ok let's make it like this

4x+2y=5 ...(i)
13x-3y=2... (ii)

now we are multiplying (i) with 3 and (ii) with 2 and we get
12x+6y=15 .. (i)
26x-6y=4 .. (ii)

now adding (i) and (ii) we get

38x = 19
so x = 0.5

now putting this value of 'x; in (i) we get
2 + 2y= 5
or 2y = 3
or y =3/2 = 1.5

thus we get two values

x=0.5
y=1.5

and that is the answer

Answer 2

4x + 2y = 5- - - - - - -Equation 1
13x - 3y = 2- - - - - - Equation 2

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Multiply equation 1 by 3 and equation 2 by 2

3(4x) + 3(2y) = 3(5)

12x + 6y = 15. . .New equation 1

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2(13x) - 2(3y) = 2(2)

26x - 6y = 4...new equation 2

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12x + 6y = 15
26x - 6y = 4
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38x = 19

38x/38 = 19/38

x = 1/2

x = .5

The answer is x = .5

Insert the x value into equation 1

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4x + 2y = 5

4(.5) + 2y = 5

2 + 2y = 5

2 + 2y - 2 = 5 - 2

2y = 3

2y/2 = 3/2

y = 1 1/2

y - 1.5

Ahe answer is y = 1.5

Insert the y value into equation 1

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Check for equation 1

4x + 2y = 5

4(.5) + 2(1.5) = 5

2 + 3 = 5

5 = 5

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Check for equation 2

13x -3y = 2

13(.5) - 3(1.5) = 2

6.5 - 4.5 = 2

2 = 2

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The solution set is { .5, 1.5 }

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Answer 3

4x + 2y = 5
13x -3y = 2

multiply the top and bottom so the y's will go to 0.

Top by 3 and bottom by 2

12x + 6y = 15
26x - 6y = 4
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38x = 19
x = 38/19

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solve for y
4(38/19) + 2y = 5
2y = 5 - (4 * 38/19)
y = (5 - (4 * 38/19))/2

Answer 4

The equqtion is wrong.