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