Question

2x+3y= 15
x+y= 6
wor out the values of "x" and" y"

Answer 1

Answer: x=3

y=3

Explanation:

2x+3y=15

x+y=6

2x+3y=15

x=6-y

2(6-y)+3y=15

y=3

x=6-3

x=3

(3,3)

Answer 2

x = 3 and y = 3

Explanation:

2 x + 3 y = 15 { Equation 1 }

x + y = 6 { Equation 2 }

( Multiply the x variable by 2 so equation 1 and 2 have the same x variable )

2 x + 3 y = 15 { Equation 1 }

2 x + 2 y = 12 { Equation 2 }

( Minus equation 2 from 1 so we are left with an independent variable )

y = 3

( Substitute y = 3 into equation 1 to solve for x )

2 x + 9 = 15

( Solve )

2 x + 9 = 15

[ Subtract 9 from both sides ]

2 x = 6

[ Divide by 2 from both sides ]

x = 3