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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$y = 6 + x$
$y = 3 x$
$x$Intercept
$\left ( - 6 , 0 \right )$
$y$Intercept
$\left ( 0 , 6 \right )$
$x$Intercept
$\left ( 0 , 0 \right )$
$y$Intercept
$\left ( 0 , 0 \right )$
$x = 3$
$ $ Solve a solution to $ x$
$\color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ x } = 3 x$
$ $ Organize the expression $ $
$\color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } = 3 x$
$x + 6 = \color{#FF6800}{ 3 } \color{#FF6800}{ x }$
$ $ Move the variable to the left-hand side and change the symbol $ $
$x + 6 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = 0$
$x \color{#FF6800}{ + } \color{#FF6800}{ 6 } - 3 x = 0$
$ $ Move the constant to the right side and change the sign $ $
$x - 3 x = \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } = - 6$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = - 6$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Change the sign of both sides of the equation $ $
$2 x = 6$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } = \color{#FF6800}{ 6 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ x } = \color{#FF6800}{ 3 }$
Solution search results
A triangle has angles that measure $54.6^{°}$ and $17.80$ Which equation can be used to find the value of $x$ the measure of the third angle in the triangle? $○$ $180+x=54.6+17.8$ $○$ $17.8+54.6+x=360$ $○$ $17.8+54.6+x=180$ $0\times =\left(54.6+17.8\right)\div 2$
7th-9th grade
Other
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Equations Name Solving $Mu|t1-Step$ Equations Date Period Practice Worksheet 1 1) Solve $12-2x=4\left(4-x\right)$ $6\right)$ Solve $5\left(3x+1\right)-2\left(5x+1\right)=13$ $2\right)$ Solve $6\left(2x-5\right)=15x+3$ 7) Solve $12=2\left(x+1\right)+2\left(3x+1\right)$ 3) Solve $-2\left(x-7\right)+x=3x+10$ $8\right)$ Solve $-\left(10x+1\right)+4\left(x-1\right)=-23$ $I$ $4\right)$ Solve $2x+6=-2\left(-2x+1\right)-2x$ $9\right)$ Solve $2\left(4x+1\right)+2\left(2x+3\right)=2\left(5x+1\right)+2$ 5) Solve $2\left(4x-1\right)+6x=4x-10$ $10\right)$ Solve $2\left(4x-1\right)+3\left(x-3\right)=-3\left(x+5\right)+6$
10th-13th grade
Algebra
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