Question

x-y=5 4x+y=10 x=? y=?

Answer 1

Answer:

The solution of the system of linear equations is $x = 3$ and $y = -2$.

Step-by-step explanation:

Let $x - y = 5$ and $4\cdot x +y = 10$ expressions of the system of linear equations. Since the number of variables and equations are the same, there is only one solution and we can solve it by algebraic means:

$x-y = 5$ (1)

$4\cdot x + y = 10$ (2)

From (1):

$x = 5+y$

By applying (1) in (2):

$4\cdot (5+y) +y = 10$

$20+5\cdot y = 10$

$5\cdot y = -10$

$y = -2$

By (1):

$x = 5-2$

$x = 3$

The solution of the system of linear equations is $x = 3$ and $y = -2$.