\left\{ \begin{array} { l } { y - x = 9 } \\ { \frac { x + 8 } { 9 - 5 } = 2 } \end{array} \right.
Solve for y, x
x=0
y=9
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\frac{x+8}{4}=2
Consider the second equation. Subtract 5 from 9 to get 4.
\frac{1}{4}x+2=2
Divide each term of x+8 by 4 to get \frac{1}{4}x+2.
\frac{1}{4}x=2-2
Subtract 2 from both sides.
\frac{1}{4}x=0
Subtract 2 from 2 to get 0.
x=0
Multiply both sides by 4, the reciprocal of \frac{1}{4}. Anything times zero gives zero.
y-0=9
Consider the first equation. Insert the known values of variables into the equation.
y+0=9
Multiply -1 and 0 to get 0.
y=9
Anything plus zero gives itself.
y=9 x=0
The system is now solved.
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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