Question

Solve
6x+5y=3
2x-3y=-13​

Answer 1

(x,y)=(-2,3)

Explanation:

6x+5y=3

x=-(13/2)+(3/2)y

6(- 13/2+3/2y) +5y=3

y=3

x=13/2+3/2x3

x=2

Answer 2

Explanation:

let 6x+5y=3 be equation 1

and 2x-3y=-13 be equation 2

Multiply equation 2 by 3

(2x-3y)*3=(-13)*3

6x-9y=-39

Now Solving eq 1 and 2 simultaneously

6x+5y=3

6x-9y=-39

- + =+

_________

0+14y=42

y=42/14

y=3

Put y=3 in eq 1 to find x

6x+5y=3

6x+5(3)=3

6x+15=3

6x=3-15

6x=-12

x=-12/6

x=-2

Therefore y=3

x=-2