Question

substitution 2x-y=6 x-y=2​

Answer 1

Step-by-step explanation:

$\sf 2x-y=6\dots (1)$

$\sf x-y=2\dots (2)$

• from eq (1)

$\qquad\quad\displaystyle\sf {:}\longrightarrow 2x-y=6$

$\qquad\quad\displaystyle\sf {:}\longrightarrow y=2x-6 \dots (3)$

• Substitute the value of y in eq (2)

$\qquad\quad\displaystyle\sf {:}\longrightarrow x-y=2$

$\qquad\quad\displaystyle\sf {:}\longrightarrow x-(2x-6)=2$

$\qquad\quad\displaystyle\sf {:}\longrightarrow x-2x+6=2$

$\qquad\quad\displaystyle\sf {:}\longrightarrow -x=2-6$

$\qquad\quad\displaystyle\sf {:}\longrightarrow -x=-4$

$\qquad\quad\displaystyle\sf {:}\longrightarrow x=4$

• substitute the value in eq (3)

$\qquad\quad\displaystyle\sf {:}\longrightarrow y=2 (4)-6$

$\qquad\quad\displaystyle\sf {:}\longrightarrow y=8-6$

$\qquad\quad\displaystyle\sf {:}\longrightarrow y=2$

$\therefore\sf (x,y)=(4,2)$