Question

Solve the equation 2x+3y = 9 and y-x = -2 using the method of reduction.

Answer 1

Answer:

Refer to the attachment above

I hope it helps you..

Answer 2

Given:

$2x+3y = 9$

$y-x = -2$

To find:

Solve the equation with reduction method.

Solution:

$2x+3y = 9$

$y = x-2$( Bring x to other side it becomes positive)

Substitute $y=x-2$ in $2x+3y = 9$

$\begin{bmatrix}2x+3\left(x-2\right)=9\end{bmatrix}$

$2x +3x-6=9$

$5x-6=9$

$5x=15\\\\x=3$

substitute the value $x=3$ in $y=x-2$

$y=3-2\\y=1$

By solving the equation by method of reduction we get the value of x as 3 and y as 1.