Question

What is
4y+6x=18
3y-2x=33

Answer 1

`\\ 4y + 6x = 18 \\ \\ 6x= 18 - 4y \\ = x = 3 - (2)/(3 )y \\ x = - (2)/(3) y+ 3`

Answer 2

x = -3 and y = 9

Explanation:

Solving system of linear equations by elimination method:

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

3y - 2x = 33 -----------------(II)

Multiply equation (II) by 3.

(I) 4y + 6x = 18

(II)*3 9y - 6x = 99 {Now add the equations}

13y = 117

Divide both sides by 13,

y = 117 ÷ 13

`\boxed{\bf y = 9}`

Substitute y = 9 in equation (I) and obtain the value of 'x',

4*9 + 6x = 18

36 + 6x = 18

Subtract 36 from both sides,

6x = 18 - 36

6x = -18

Divide both sides by 6

x = -18 ÷ 6

`\boxed{\bf x = -3}`