Question

Helpppppp use elimination and shoe your work

3x+2y=9 2x+6y=6

Answer 1

`x = (9 - 2y)/(3) \\ x = 3 - 3y`

Explanation:

`3x = 9 - 2y \\ x = (9 - 2y)/(3) \\ \\ 2(x + 3y) = 6 \\ x + 3y = (6)/(2) \\ x + 3y = 3 \\ x = 3 - 3y`

Answer 2

x= 3

y= 0

Explanation:

3x + 2y = 9 -----------(1)

2x +6y = 6------------(2)

solving the above simultaneous equation using elimination method.

let's eliminate x.

To eliminate x, the coefficient of x in the 2equations must be the same.

3x +2y = 9--------×2

2x +6y = 6--------×3

6x + 4y = 18--------(3)

6x + 18y = 18-------(4)

subtracting equation (3) from (4)

6x - 6x = 0

18y- 4y = 14y

18-18 = 9

14y = 0

dividing bothsides by 16

y = 0/14

y = 0

substitute y= 0 into equation (3)

6x + 4(0) = 18

6x +0 = 18

6x = 18

dividing bothsides by 6

6x/6 = 18/6

X = 3

therefore, x = 3 and y = 0