Solve for x
x=\frac{-8y-6}{5}
Solve for y
y=-\frac{5x}{8}-\frac{3}{4}
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3-\left(8y+5x\right)=9
Multiply both sides of the equation by 3.
3-8y-5x=9
To find the opposite of 8y+5x, find the opposite of each term.
-8y-5x=9-3
Subtract 3 from both sides.
-8y-5x=6
Subtract 3 from 9 to get 6.
-5x=6+8y
Add 8y to both sides.
-5x=8y+6
The equation is in standard form.
\frac{-5x}{-5}=\frac{8y+6}{-5}
Divide both sides by -5.
x=\frac{8y+6}{-5}
Dividing by -5 undoes the multiplication by -5.
x=\frac{-8y-6}{5}
Divide 6+8y by -5.
3-\left(8y+5x\right)=9
Multiply both sides of the equation by 3.
3-8y-5x=9
To find the opposite of 8y+5x, find the opposite of each term.
-8y-5x=9-3
Subtract 3 from both sides.
-8y-5x=6
Subtract 3 from 9 to get 6.
-8y=6+5x
Add 5x to both sides.
-8y=5x+6
The equation is in standard form.
\frac{-8y}{-8}=\frac{5x+6}{-8}
Divide both sides by -8.
y=\frac{5x+6}{-8}
Dividing by -8 undoes the multiplication by -8.
y=-\frac{5x}{8}-\frac{3}{4}
Divide 6+5x by -8.
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y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}