Question

-4x+9y=9; x-3y=-6 by elimination method​

Answer 1

Answer:

x-9y=9 ADD. y=-2.5 ans. x=13.5 ans

Answer 2

Answer:

${ \large{ \pmb{ \sf{★Given \: Equations... }}}}$

: ➙ -4x + 9y = 9

: ➙ x - 3y = -6

${ \large{ \pmb{ \sf{★ To \: Find... }}}}$

Value of x and y by elimination method.

${ \large{ \pmb{ \sf{★ Solution... }}}}$

${ \to \: \: { \sf{-4x + 9y = 9 ...(1)}}}$

$\to \: \: \sf{ x - 3y = -6...(2)}$

Now Multiply equation (2) with 3,

$\to \: \: \sf{3(x - 3y) = - 6(3)}$

$\to \: \: \bf{3x - 9y = - 18...(3)}$

From equation (1) and (3),

$\: {\implies{\sf{3x - 9y - 4x + 9y = - 18 + 9}}}$

$\: {\implies{\sf{3x - 4x = - 9}}}$

$\: {\implies{\sf{ - x = - 9}}}$

$\: {\implies{\sf{x = 9}}}$

Substitute x value in equation (1),

$\: {\implies{\sf{ - 4x + 9y = 9}}}$

$\: {\implies{\sf{ - 4(9) + 9y = 9}}}$

$\: {\implies{\sf{ - 36 + 9y = 9}}}$

$\: {\implies{\sf{9y = 9 + 36}}}$

$\: {\implies{\sf{9y = 45}}}$

$\: {\implies{\sf{y = 5}}}$

${ \large{ \pmb{ \sf{★ Final \: Answer... }}}}$

: ➙ Value of x = 9

: ➙ Value of y = 5