Solve the system of equations 2x-y=1; x+2y=8 graphically and find the coordinates of the points where corresponding lines intersect y-axis.
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$x + y = 6$
$x$Intercept
$\left ( 6 , 0 \right )$
$y$Intercept
$\left ( 0 , 6 \right )$
$x = - y + 6$
$ $ Solve a solution to $ x$
$x \color{#FF6800}{ + } \color{#FF6800}{ y } = 6$
$ $ Move the rest of the expression except $ x $ term to the right side and replace the sign $ $
$x = 6 \color{#FF6800}{ - } \color{#FF6800}{ y }$
$x = \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ y }$
$ $ Organize the expression $ $
$x = \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 6 }$
$y = - x + 6$
$ $ Solve a solution to $ y$
$\color{#FF6800}{ x } + y = 6$
$ $ Move the rest of the expression except $ y $ term to the right side and replace the sign $ $
$y = 6 \color{#FF6800}{ - } \color{#FF6800}{ x }$
$y = \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ x }$
$ $ Organize the expression $ $
$y = \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 }$
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$23.x=1,y=4$ is a solution of the linear equation. $O$ $x+y=6$ $O$ O $2x+y=6$
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