\left\{ \begin{array} { l } { 3 x - 4 ( x - 4 ) = 2 } \\ { 2 x - 3 y = 1 } \end{array} \right.
Solve for x, y
x=14
y=9
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3x-4x+16=2
Consider the first equation. Use the distributive property to multiply -4 by x-4.
-x+16=2
Combine 3x and -4x to get -x.
-x=2-16
Subtract 16 from both sides.
-x=-14
Subtract 16 from 2 to get -14.
x=\frac{-14}{-1}
Divide both sides by -1.
x=14
Fraction \frac{-14}{-1} can be simplified to 14 by removing the negative sign from both the numerator and the denominator.
2\times 14-3y=1
Consider the second equation. Insert the known values of variables into the equation.
28-3y=1
Multiply 2 and 14 to get 28.
-3y=1-28
Subtract 28 from both sides.
-3y=-27
Subtract 28 from 1 to get -27.
y=\frac{-27}{-3}
Divide both sides by -3.
y=9
Divide -27 by -3 to get 9.
x=14 y=9
The system is now solved.
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Limits
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