Solve by the substitution method 8x + 7y = 19 , -5x + y = 15

Question

Asked 10/10/2010 10:06:50 PM

Updated 10/25/2014 4:09:51 PM

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This answer has been confirmed as correct and helpful.

Edited by andrewpallarca [10/25/2014 4:09:48 PM], Confirmed by andrewpallarca [10/25/2014 4:09:51 PM]

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Expert answered|dame016|Points 111|

Question

Asked 10/10/2010 10:06:50 PM

Updated 10/25/2014 4:09:51 PM

1 Answer/Comment

This answer has been confirmed as correct and helpful.

Edited by andrewpallarca [10/25/2014 4:09:48 PM], Confirmed by andrewpallarca [10/25/2014 4:09:51 PM]

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8

The solution for 2x + 3y = 11, -8x + y = 47 is:

x = -5, y = 7

SUBSTITUTION METHOD:

2x + 3y = 11, -8 + y = 47;

Isolate y in eq 2:

y = 8x + 47;

Put the value of y to eq. 1, and solve for x:

2x + 3(8x + 47) = 11;

2x + 24x + 141 = 11;

26x + 141 = 11;

26x = 11 - 141;

26x = -130;

x = -130/26;

x = -5;

Put x = -5 to any equation, and solve for y:

2(-5) + 3y = 11;

-10 + 3y = 11;

3y = 11 + 10;

3y = 21;

y = 21/3;

y = 7

x = -5, y = 7

SUBSTITUTION METHOD:

2x + 3y = 11, -8 + y = 47;

Isolate y in eq 2:

y = 8x + 47;

Put the value of y to eq. 1, and solve for x:

2x + 3(8x + 47) = 11;

2x + 24x + 141 = 11;

26x + 141 = 11;

26x = 11 - 141;

26x = -130;

x = -130/26;

x = -5;

Put x = -5 to any equation, and solve for y:

2(-5) + 3y = 11;

-10 + 3y = 11;

3y = 11 + 10;

3y = 21;

y = 21/3;

y = 7

Added 10/25/2014 4:08:54 PM

This answer has been confirmed as correct and helpful.

2/5x+1/2y=309/95, 1/2x-1/6y=6/19 in orderd pairs **Weegy:** In order to solve this, you would need either another linear equation or the value of either x or y. (More)

Question

Expert Answered

Updated 6/25/2023 7:47:48 AM

1 Answer/Comment

Solution:

To find the ordered pairs that satisfy the given system of equations:

2/5x + 1/2y = 309/95 ...(Equation 1)

1/2x - 1/6y = 6/19 ...(Equation 2)

10 * (2/5x + 1/2y) = 10 * (309/95)

6 * (1/2x - 1/6y) = 6 * (6/19)

4x + 5y = 618/19

3x - y = 36/19

5 * (3x - y) = 5 * (36/19)

15x - 5y = 180/19

(4x + 5y) + (15x - 5y) = (618/19) + (180/19)

19x = 798/19

x = (798/19) / 19

x = 798/361

x = 2.212

Now, substituting this value of "x" back into Equation 3:

4x + 5y = 618/19

4 * 2.212 + 5y = 618/19

8.848 + 5y = 618/19

5y = (618/19) - 8.848

5y = (618 - (8.848 * 19))/19

5y = 468/19

y = (468/19) / 5

y = 468/95

y = 4.92

Therefore, the ordered pair (x, y) that satisfies the given system of equations is approximately (2.212, 4.92).

To find the ordered pairs that satisfy the given system of equations:

2/5x + 1/2y = 309/95 ...(Equation 1)

1/2x - 1/6y = 6/19 ...(Equation 2)

10 * (2/5x + 1/2y) = 10 * (309/95)

6 * (1/2x - 1/6y) = 6 * (6/19)

4x + 5y = 618/19

3x - y = 36/19

5 * (3x - y) = 5 * (36/19)

15x - 5y = 180/19

(4x + 5y) + (15x - 5y) = (618/19) + (180/19)

19x = 798/19

x = (798/19) / 19

x = 798/361

x = 2.212

Now, substituting this value of "x" back into Equation 3:

4x + 5y = 618/19

4 * 2.212 + 5y = 618/19

8.848 + 5y = 618/19

5y = (618/19) - 8.848

5y = (618 - (8.848 * 19))/19

5y = 468/19

y = (468/19) / 5

y = 468/95

y = 4.92

Therefore, the ordered pair (x, y) that satisfies the given system of equations is approximately (2.212, 4.92).

Added 6/25/2023 7:47:48 AM

This answer has been confirmed as correct and helpful.

solve by the subsitution method 2x+3y=11 , -8x+y=47 **Weegy:** FOIL (First Outside Inside Last)
= 2x(2x) + 2x(-3y) + (-3y)(2x) + (-3y)(-3y)
= 4x^2 + (-6xy) + (-6xy) + (9y^2)
= 4x^2 - 12xy + 9y^2
**User:** solve by the subsitution method 2x+3y=11 **Weegy:** **User:** the perimeter of a rectangal is 106m the length is 5m more than twice the width, find the dementions **Weegy:** add the length and with of all sides together to find perimeter **User:** x+5y=32, -x+2=12 **Weegy:** 37xy, 10-x (More)

Question

Expert Answered

Updated 318 days ago|12/19/2023 7:26:30 AM

1 Answer/Comment

x+5y=32, -x+2=12

x = -10 : (-1) + 5y =32

y = 32 + 1

y = 31

x = -10 : (-1) + 5y =32

y = 32 + 1

y = 31

Added 318 days ago|12/19/2023 7:26:30 AM

This answer has been confirmed as correct and helpful.

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