spain-selectividad 2018 Q1

spain-selectividad · Other · selectividad__madrid_matematicas-II_ordinaria 2.5 marks Simultaneous equations

Given the system of equations
$$\left\{ \begin{array} { l } x + m y = 1 \\ - 2 x - ( m + 1 ) y + z = - 1 \\ x + ( 2 m - 1 ) y + ( m + 2 ) z = 2 + 2 m \end{array} \right.$$
it is requested:
a) (2 points) Discuss the system as a function of the parameter $m$.
b) ( 0.5 points) Solve the system in the case $m = 0$.

Given the system of equations

$$\left\{ \begin{array} { l } 
x + m y = 1 \\
- 2 x - ( m + 1 ) y + z = - 1 \\
x + ( 2 m - 1 ) y + ( m + 2 ) z = 2 + 2 m
\end{array} \right.$$

it is requested:

a) (2 points) Discuss the system as a function of the parameter $m$.

b) ( 0.5 points) Solve the system in the case $m = 0$.

Paper Questions

Q1 Q2 Q3 Q4