Solve the system using any method :15x +11y = 1322x + 3y = 59

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

We have to solve the system of equations:

15x +11y = 132 ...(1)

2x + 3y = 59 ...(2)

(2)

=> 2x + 3y = 59

=> 2x = 59 - 3y

=> x = 59/2 - 3y/2

Substitute in (1)

15*(59/2 - 3y/2) + 11y = 132

=> 885/2 - 45y/2 + 22y/2 = 264/2

=> -23y = -621

=> y = 27

x = 59/2 - 3*27/2

=> -11

The required values are x = -11 and y = 27

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

15x + 11y = 132...........(1)

2x + 3y = 59 ..................(2)

We will use the substitution method to solve.

We will rewrite equation (2) and a function of x.

==> y= (59 - 2x) /3

Now we will substitute into (1).

==> 15x + 11 ( 59-2x)/3 = 132

==> 15x + 649/3 - 22/3 x = 132

==> 15x - 22/3 x = 132 - 649/3

==> (45-22)/3 x = -253/3

==> 23/3 x = -253/3

==> x = -253/23 = -11

==> y= (59-2x)/3 = (59+22)/3 = 81/3= 27

==> y= 27

Then the solution to the system is the pair (-11, 27)