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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$y = - 4 x + 5$
$y = x + 15$
$x$Intercept
$\left ( \dfrac { 5 } { 4 } , 0 \right )$
$y$Intercept
$\left ( 0 , 5 \right )$
$x$Intercept
$\left ( - 15 , 0 \right )$
$y$Intercept
$\left ( 0 , 15 \right )$
$x = - 2$
$ $ Solve a solution to $ x$
$- 4 x + 5 = \color{#FF6800}{ x } + 15$
$ $ Move the variable to the left-hand side and change the symbol $ $
$- 4 x + 5 \color{#FF6800}{ - } \color{#FF6800}{ x } = 15$
$- 4 x \color{#FF6800}{ + } \color{#FF6800}{ 5 } - x = 15$
$ $ Move the constant to the right side and change the sign $ $
$- 4 x - x = 15 \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ x } = 15 - 5$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } = 15 - 5$
$- 5 x = \color{#FF6800}{ 15 } \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
$ $ Subtract $ 5 $ from $ 15$
$- 5 x = \color{#FF6800}{ 10 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } = \color{#FF6800}{ 10 }$
$ $ Change the sign of both sides of the equation $ $
$5 x = - 10$
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 10 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
Solution search results
$1$ $x^{3}$ Synthctic Divison $x^{3}-5x+3x-9-x-3$ $2$ $x^{3}-x^{2}-y+5\div x+2$ $\left(3\right)$ $2x^{3}-3x^{2}-2x+7\div x+1$ $2x^{3}-4x^{2}+3x+1$ $x-3$ $5$ $x^{4}-2x^{3}+x^{2}-3x^{+5\div x+1}$
10th-13th grade
Calculus
Search count: 106
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Synthctic Divison $①$ @ $x^{3}$ $5x+3x-9\div x-3$ 5. 20 $②$ $x^{3}-x^{2}-y+5\div x+2$ $3$ $2x^{3}-3x^{2}-2x+7\div x+1$ $2x^{3}-4x^{2}+3x+1\div x-3$ $x^{4}-2x^{3}+x^{2}-3x^{+5\div x+1}$ $⑤$ $\times 4-2x^{3}$
10th-13th grade
Calculus
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$\left(i1\right)6x+5=x+10$
7th-9th grade
Algebra
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$1.$ $2x+5=\dfrac {3} {2}x+3$ $①$
10th-13th grade
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$d\right)2x+3=1^{2}$ $5x+1$
10th-13th grade
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$3x+5=x+6$ Find the x V
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