Question

in the given pair of linear equation X + 2 Y equal to 4 and 4 x minus 2 Y equal to 6 find the value of x​

Answer 1

Step-by-step explanation:

X+2y=4......1

4x-2y=6

2(2x-y)=6

2x-y=3......2

x=4-2y.......3

put X value in equation 2

2x-y=3

2(4-2y)-y=3

8-4y-y=3

-5y=3-8

y=1

put y value in equation 3

X=4-2y

=4-2×1

X=2

Answer 2

$\fontsize{18}{10}{\textup{\textbf{The value of x is 2.}}}$

Step-by-step explanation:

The given linear equations to solve are

$x+2y=4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\4x-2y=6~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

We will be using the method of ELIMINATION to find the value of x.

Adding equations (i) and (ii), we get

$(x+2y)+(4x-2y)=4+6\\\\\Rightarrow 5x=10\\\\\Rightarrow x=\dfrac{10}{5}\\\\\Rightarrow x=2.$

Thus, the required value of x is 2.