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)
Updated 2/17/2018 3:02:27 PM
Edited by Masamune [2/17/2018 3:02:26 PM]
Rating
3
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)

Solve the system using substitution. Write the solution as an ordered pair. SHOW YOUR WORK FOR FULL CREDIT! 3x + 4y = -7 2y - x = -1
Updated 2/10/2015 2:04:22 PM
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}
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