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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$y = 5 x + 4$
$y = 2 x - 5$
$x$Intercept
$\left ( - \dfrac { 4 } { 5 } , 0 \right )$
$y$Intercept
$\left ( 0 , 4 \right )$
$x$Intercept
$\left ( \dfrac { 5 } { 2 } , 0 \right )$
$y$Intercept
$\left ( 0 , - 5 \right )$
$x = - 3$
$ $ Solve a solution to $ x$
$5 x + 4 = \color{#FF6800}{ 2 } \color{#FF6800}{ x } - 5$
$ $ Move the variable to the left-hand side and change the symbol $ $
$5 x + 4 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 5$
$5 x \color{#FF6800}{ + } \color{#FF6800}{ 4 } - 2 x = - 5$
$ $ Move the constant to the right side and change the sign $ $
$5 x - 2 x = - 5 \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 5 - 4$
$ $ Organize the expression $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = - 5 - 4$
$3 x = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 4 }$
$ $ Find the sum of the negative numbers $ $
$3 x = \color{#FF6800}{ - } \color{#FF6800}{ 9 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 9 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 3 }$
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BÀI TẬP 15. Bỏ dấu giá trị tuyệt đối và rút gọn các biểu thức a) $A=3x+2+15x1$ trong hai trường hợp : x 20 và $x<0$ b) $B=|-4\times 1-2x+12$ trong hai trường hợp $:x\leq 0$ và $x>0:$ c) $C=|x-4|-2x+12$ khi $x>5:$ d) $D=3x+2+|$ $x+51$ 36. Giải các phương $1rinb$ a) $|2x^{|}=x-6:$ $b\right)|-3\times |=x-8:$ $c\right)|4x|=2x+12:$ $d\right)|-5x^{|-16}=3x$ 37. Giải các phương $1rinb$ $.$ $a\right)|$ $x-7|=2x+3:$ $b\right)|$ $x+4|=2x-5$ $c\right)|$ $x+3|=3x-1:$ $d\right)|$ $x-4|+3x=5$
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