Solving a system of equation

x+5y=15

-3x+2y=6

(0,3)

y=3

x=0

Step-by-step explanation:

x+5y=15

-3x+2y=6

solve the equation

x=15-5y

-3x+2y=6

substitute the value of x into an equation

-3 (15-5y) + 2y=6

distribute

-45-15y+2y=6

add 15 to 2

-45-17y=6

add 45 from both sides

17y=51

divide both sides by 17

y=3

substitute the value of y into an equation

x=15-5•3

multiply 5 to 3

x=15-15

subtract

x=0

(0,3)