# How do you solve x - 2y =5 and 2x -4y= 1 using substitution?

Jun 28, 2016

No solutions. It is not possible $f \mathmr{and} 2 x - 4 y = 1$ and also at the same time, $2 x - 4 y = 10$

#### Explanation:

$x - 2 y = 5$ ======> 1

so, $x = 2 y + 5$

$2 x - 4 y = 1$ ======> 2

substituting value of $x$ in 2, we get $2 \cdot \left(2 y + 5\right) - 4 y = 1$

=> $\cancel{4 y} + 10 - \cancel{4 y} = 1$ => $10 = 1$ which is not TRUE.

Hence, No Solutions for the given equations.