Question

2x+1y=3300, 2y+1x=5400 what is the value of X?

Answer 1

Adding both equations
3x+3y=8700
X+y= 2900
Y= 2900-x
Put in eq 1
2x+ 2900-x = 3300
X= 400

Answer 2

Given equations,

$\longrightarrow 2x+y=3300\quad\quad\dots(1)$

$\longrightarrow 2y+x=5400\quad\quad\dots(2)$

Multiplying (1) by 2,

$\longrightarrow 4x+2y=6600\quad\quad\dots(3)$

Subtracting (2) from (3),

$\longrightarrow (4x+2y)-(2y+x)=6600-5400$

$\longrightarrow 4x+2y-2y-x=1200$

$\longrightarrow 3x=1200$

$\longrightarrow\underline{\underline{x=400}}$

Hence value of $x$ is 400.

From (1),

$\longrightarrow y=3300-2x$

$\longrightarrow y=3300-2\times400$

$\longrightarrow y=3300-800$

$\longrightarrow y=2500$

Value of $y$ is 2500.

Let's check.

From (1),

$\longrightarrow 2\times400+2500=800+2500=3300$

From (2),

$\longrightarrow 2\times2500+400=5000+400=5400$

So it's true.