Question

100 POINTS solve the system using linear combination. show all work.{ 5x + 3y = 41 {3x - 6y = 9

Answer 1

5x+3y = 41 multiply whole thing by -2 so the y’s cancel out
3x-6y = 9

Becomes
-10-6y=-82
- subtract
3x-6y = 9

=
-13x+0y=-91
X=7

Plug in x to find y
3(7)-6y=9
21-6y=9
Y=2

Answer 2

Answer:

y = 2

x = 7

Explanation:

• 5x + 3y = 41

• 3x - 6y = 9

Make the coefficient of "y" in equation 1 same

{ 5x + 3y = 41 } * 2     →  10x + 6y = 82  ........equation 1

                                  →  3x - 6y = 9 ........equation 2

solving them using linear combination

• 10x + 6y = 82

• 3x - 6y = 9

     ============

• 13x = 91

• x = 7

Find y:

• 5x + 3y = 41

• 5(7) + 3y = 41

• 3y = 41 - 35

• 3y = 6

• y = 2