y = 2x - 9 x + 3y = 8

y = 2x - 9 ; x + 3y = 8 ; x + 3(2x - 9) = 8 ; x + 6x - 27 = 8 ; 7x - 27 = 8 ; 7x = 8 + 27 ; 7x = 35 ; x = 35/7 ; x = 5 ; 5 + 3y = 8 ; 3y = 8 - 5 ; 3y = 3 ; y = 3/3 ; y = 1 ; Solution set: (5, 1)

Question|Asked by Steelforcedude123

Asked 2/11/2015 8:05:12 AM

Updated 2/17/2018 3:02:27 PM

1 Answer/Comment

Edited by Masamune [2/17/2018 3:02:26 PM]

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y = 2x - 9 ;

x + 3y = 8 ;

x + 3(2x - 9) = 8 ;

x + 6x - 27 = 8 ;

7x - 27 = 8 ;

7x = 8 + 27 ;

7x = 35 ;

x = 35/7 ;

x = 5 ;

5 + 3y = 8 ;

3y = 8 - 5 ;

3y = 3 ;

y = 3/3 ;

y = 1 ;

Solution set: (5, 1)

x + 3y = 8 ;

x + 3(2x - 9) = 8 ;

x + 6x - 27 = 8 ;

7x - 27 = 8 ;

7x = 8 + 27 ;

7x = 35 ;

x = 35/7 ;

x = 5 ;

5 + 3y = 8 ;

3y = 8 - 5 ;

3y = 3 ;

y = 3/3 ;

y = 1 ;

Solution set: (5, 1)

Added 2/17/2018 3:02:27 PM

This answer has been confirmed as correct and helpful.

Solve the system using substitution. Write the solution as an ordered pair. SHOW YOUR WORK FOR FULL CREDIT!
3x + 4y = -7 2y - x = -1

Question|Asked by Steelforcedude123

Updated 2/10/2015 2:04:22 PM

1 Answer/Comment

3x + 4y = -7 2y - x = -1;

2y = x - 1;

(2y = x - 1)/(2);

y = x/2 - 1/2;

3x + 4(x/2 - 1/2) = -7;

3x + 2x - 2 = -7;

5x - 2 = -7;

5x = -7 + 2;

5x = -5;

x = -5/5 = 1;

2y + 1 = -1;

2y = -1 - 1;

2y = -2;

y = -2/2 = -1

The solution set for 3x + 4y = -7 2y - x = -1 is {-1, -1}

2y = x - 1;

(2y = x - 1)/(2);

y = x/2 - 1/2;

3x + 4(x/2 - 1/2) = -7;

3x + 2x - 2 = -7;

5x - 2 = -7;

5x = -7 + 2;

5x = -5;

x = -5/5 = 1;

2y + 1 = -1;

2y = -1 - 1;

2y = -2;

y = -2/2 = -1

The solution set for 3x + 4y = -7 2y - x = -1 is {-1, -1}

Added 2/10/2015 2:04:20 PM

This answer has been confirmed as correct and helpful.

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