What is the solution to the system of equations $y = 2x-1$ and $y = -x + 5$ ?

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Answer 1 · 2016-01-01T10:55:39

$x=2, y=3$

By elimination:

$y=2x-1$

$2x-y=1$ --- $(1)$

$y=-x+5$

$x+y=5$ --- $(2)$

$(1)+(2):$

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

$3x=6$

$x=2$

Subsitute $x=2$ into $(2)$ :

$2+y=5$

$y=3$

What is the solution to the system of equations y = 2x-1y = 2x-1 and y = -x + 5y = -x + 5?