Question

How many solutions does the system have?

2x+3y=6
-3x+5y=-15

Answer 1

one solution

Explanation:

2x+3y=6 multiply this equation with 3

-3x+5y=-15 multiply this equation with 2

so

6x+9y=18

-6x+10y=-15

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add these equation

so 6x-6x+9y+10y=18-15

19y=3

y=3/19

so 2x+3*3/19=6 multiply this equation with 19

2x*19+9=6*19

38x+9=114

-9 -9

38x=105

x=105/38