6x+y=5,4x+7y=11?

Answer 1

6x + y = 5- - - - - - -Equation 1
4x + 7y = 11- - - - -Equation 2
- - - - - - - - - -

Substitute method eqution 1

6x + y = 5

6x + y - 6x = - 6x + 5

y = - 6x + 5

substitute the y value into equation 2

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4x + 7y - 11

4x + 7(- 6x + 5) = 11

4x + (- 42x + 35 = 11

4x - 42x + 35 = 11

- 38x + 35 = 11

- 38x + 35 - 35 = 11 - 35

- 38x = - 24

- 38x / - 38 = - 24 / - 38

x = - 24 / - 38

x = 12 / 19

Insert the x value into equation 1

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6x + y = 5

6(12 / 19) + y = 5

72 / 19 + y = 5

72/19 + y - 72/19 = 5 - 72/19

y = 95/19 - 72/19

y = 23 / 19

Insert the y value into equation 1

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Check for equation 1

6x + y = 5

6(12/19) + 23/19 = 5

72/19 + 23/19 = 5

95/19 = 5

5 = 5

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Check for equation 2

4x + 7y = 11

5(12/19) + 7(23/19 = 11

48/19 + 161/19 = 11

209/19 = 11

11 = 11

- - - - - -

The solution set is { 12/19, 23/19 }

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Answer 2

6x + y = 5.................(1)

4x + 7y = 11 ...........(2)

multiply (1) by 7, gives you..

42x+7y= 35 .................(3)


subtract (3) by (2)


-42x+7y = 35
4x+7y = 11
------------------
-38x = -24

x= -24/-38

x=12/19

find the y is to substitute the value of x:

4x + 7y=11

4(12/19) + 7y = 11

2(10/19 + 7y = 11

11-2(10/19) = 7y

[(8)9/19]/7 = y

y = 1(4/19)

To check this:

subtitute the values in (1), gives you...

6x+y =5.......................(1)

6(12/19) + 1(4/19) = 5

3(15/19) + 1(4/19) = 5

5=5

LHS=RHS

also,

4x+7y = 11.....................(2)

4(12/19) + 7(1(4/19) = 11

2(10/19) + 8(9/19) = 11

11=11

LHS= RHS

Answer 3

- 42x - 7y = - 35
4x + 7y = 11 Now add:-
- 38x = - 24
x = 24 / 38 = 12 / 19

72/19 + y = 5
y = 5 - 72 / 19
y = 95 / 19 - 72 / 19
y = 23 / 19

x = 12 / 19, y = 23 / 19

Answer 4

6x+y= 5
=4x+7y=11
=4x+7(5-6x)=11
=4x+35-42x=11
= -38x+35=11
= -38x=-24
= x=-24/-38
x=0.63

solving y
substitute x in
4x+7y=11
(4*0.63)+7y=11
7y+2.52=11
7y=8.48
y=8.48/7
=1.21

Answer 5

enable's see ... 6x + 4(3x - 2) = 6x + 2 6x + 12x - 8 = 6x + 2 6x + 12x - 6x - 8 - 2 = 0 12x - 10 = 0 12x = 10 x = 10/12 x = 5/6 properly, every person's answer's a similar, who you are going to compliment using fact the final answer? ask your self why you're asking this.

Answer 6

6x + y = 5 (equation 1)
4x + 7y = 11 (equation 2)

Using elimination method:
24x + 4y = 20 (from equation 1)
24x + 42y = 66 (from equation 2)

Eliminate x by subtracting equation 2 with equation 1
-38y = -46
y = 1.21 (equation 3)

Substitute equation 3 into 1
6x + 1.21 = 5
6x = 3.79
x = 0.63

x = 0.63, y = 1.21

Answer 7

6x+y=5
therefore y=5-6x
therfore 4x+7(5-6x)=11
4x-42x+35=11
-38x=-24
x=38/24
x=19/12

Answer 8

7{(6x+y)=5}

42x+7y=35
- 4x+7y=11
---------------------
38x =24
x=12/19 or 0.63

6(0.63)+y=5
3.78+y=5
y=1.22

Answer 9

x = 0.63
and
y = 1.21