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Which expression gives the y-coordinate of the solution of the system? 3915518_Eqn011.gif

User Kaorukobo
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1 Answer

7 votes

General Idea:

The Cramer's rule can be used to find the value of y.

For a system of equation of the form:


ax+by+cz=j


dx+ey+fz=k


gx+hy+iz=l

Determinant
D =\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right]


D_(y) =\left[\begin{array}{ccc}a&j&c\\d&k&f\\g&l&i\end{array}\right]


y=(D_(y))/(D)

Applying the concept:


image


D=\left[\begin{array}{ccc}1&2&-2\\3&-1&1\\1&0&1\end{array}\right] \\D=1(-1-0)-2(3-1)-2(0+1)\\D=-1-4-2\\ D=-7


image

Conclusion:

The expression which gives the y-coordinate of the solution of the system is option D.


OptionD=\frac{\left[\begin{array}{ccc}1&3&-2\\3&16&1\\1&7&1\end{array}\right] }{-7}

Which expression gives the y-coordinate of the solution of the system? 3915518_Eqn-example-1
User Doree
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