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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$y = 3 x - 5$
$y = 2 x + 3$
$x$Intercept
$\left ( \dfrac { 5 } { 3 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 5 \right )$
$x$Intercept
$\left ( - \dfrac { 3 } { 2 } , 0 \right )$
$y$Intercept
$\left ( 0 , 3 \right )$
$x = 8$
$ $ Solve a solution to $ x$
$3 x - 5 = \color{#FF6800}{ 2 } \color{#FF6800}{ x } + 3$
$ $ Move the variable to the left-hand side and change the symbol $ $
$3 x - 5 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = 3$
$3 x \color{#FF6800}{ - } \color{#FF6800}{ 5 } - 2 x = 3$
$ $ Move the constant to the right side and change the sign $ $
$3 x - 2 x = 3 \color{#FF6800}{ + } \color{#FF6800}{ 5 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = 3 + 5$
$ $ Organize the expression $ $
$\color{#FF6800}{ x } = 3 + 5$
$x = \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 5 }$
$ $ Add $ 3 $ and $ 5$
$x = \color{#FF6800}{ 8 }$
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