How do you solve the system of linear equations $y=2x-3$ and $y=-x+4$ ?

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Answer 1 · 2016-02-19T11:55:29

The solution for the system of equations is:
$color(blue)(x=7/3$
$color(blue)(y=5/3$

$2x -color(blue)( y) = 3$ ............equation $(1)$

$-x color(blue)(-y) = -4$ ......equation $(2)$

Solving by elimination:

Subtracting equation $2$ from $1$ :

$2x -cancelcolor(blue)( y) = 3$
$+x cancelcolor(blue)(+y) = +4$

$3x=7$

$x=7/3$

Finding $y$ from equation $1$

$2x - y = 3$

$2x - 3 = y$

$2 xx (7/3) - 3 = y$

$14/3 - 9/3= y$

$y = 5/3$

How do you solve the system of linear equations y=2x-3y=2x-3 and y=-x+4y=-x+4?