Solve for y
y = -\frac{9}{4} = -2\frac{1}{4} = -2.25
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4y+3\times 2+11=8
Multiply both sides of the equation by 2.
4y+6+11=8
Multiply 3 and 2 to get 6.
4y+17=8
Add 6 and 11 to get 17.
4y=8-17
Subtract 17 from both sides.
4y=-9
Subtract 17 from 8 to get -9.
y=\frac{-9}{4}
Divide both sides by 4.
y=-\frac{9}{4}
Fraction \frac{-9}{4} can be rewritten as -\frac{9}{4} by extracting the negative sign.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}