Answer
$x = 1$, $y=1$, or $(1,1)$
Work Step by Step
Given:
$5x - y = 4$
$2x - y = 1$
Remember that '$-(-y) = +y$.
Subtract the second equation, $2x - y = 1$, from the first, $5x - y = 4$:
$5x - y - (2x - y) = 4 -(1)
\\5x-y-2x+y=3$
Combine like terms:
$3x = 3$
Divide both sides by $3$:
$x = 1$
Substitute $x = 1$ into the second equation:
$2x-y=1
\\2(1) - y = 1
\\2-y=1$
Expand the brackets:
$2 - y = 1$
Subtract $2$ from both sides:
$-y = 1-2
\\-y-=1$
Divide both sides by $-1$:
$y = 1$
Thus, $x = 1$, $y=1$
