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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$14\right)$ $\dfrac {3} {1-4x}=\dfrac {2} {4x+1}-\dfrac {8+6x} {16x^{2}-1}$
10th-13th grade
Other
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Qanda teacher - Charu.G
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Tovah solves the equation $\square 1aTex$ $ltac\left(1\right)\left(x+3\right)+lirac\left(2\right)\left(x\right)=ltrac\left(3\right)\left(x+3\right)$ $an0$ obtains $-1aTe\times $ $x\right):=-3:\right):x\left(:=1:0$ Determine if $21a$ $aTex:$ $x\right):=:-3$ $:or\left(:x\right):=0$ extraneous. Justify your answer. $On|yx=-3$ is extraneous and $x=0isa$ real solution. $○$ $Onbyx=0$ is extraneous and $x=-3is$ real solution. $○$ Both solutions are extraneous because when $x=-3$ and $x=0$ are substituted into the original equation, it makes a denominator equal to zero and you canhot divide by 0 (undefined). $○$ O Both $x=-3andx=0$ are real solutions. There are no extraneous roots.
10th-13th grade
Algebra
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Which of the following rational numbers are equivalent? $0Ptionsy$ A \frac{5}{6}, \frac{30}{36} B $s\sqrt{rac\left(} -2\right)\left(3\right)\sqrt{1rac} \sqrt{4\right)16\right)4} $ C $s\sqrt{11aC\left(} -4\right)1-7b,\sqrt{1rac\left(16\sqrt{35\right)9} } $ D \frac{1}{2},\frac{3}{8}
7th-9th grade
Other
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Using the \emph{removal of first derivative} method, the differential equation \( \frac{d^{2}y} $\left(d\times n$ $\left(2\right)\right)+P|ffac\left(dy\right)\left(dx\right)+Qy=F$ $dx\right)+Qy=RN\right)$ is transformed as \). For, the differential equation \frac{d^{2}y} $\left(d^{n}\left(2\right)y\right)$ $dx$ $\left(2\right)+2x$ $\left(0C\left(dy\right)\left(dx\right)+\left(x$ $2+1\right)y=\times n3+3x\right)$ the value of $\left(11\right)$
Calculus
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