7.3 EXERCISES
\( x+y+z \)
Section 7.3 Multivariable Linear Systems
525
VOCABULARY: Fill in the blanks. \( \quad 1 x+2 y+42=5 \) See www.CalcChat.com for worked-out solutions to odd-numbered exercises.
1. A system of equations that is in \( \qquad \) \( y+42=6 \) row echelon.
2. A solution to a system of three linear equation ons in three unknowns can be written as an which has the form \( (x, y, z) \). \( \qquad \) ,
3. The process used to write a system of linear equations in row-echelon form is called
4. Interchanging two equations of a system of linear equations is a \( \qquad \) elimination. equivalent system. \( \qquad \) that produces an
5. A system of equations is called \( \qquad \) if the number of equations differs from the number of variables in the system.
6. The equation \( s=\frac{1}{2} a t^{2}+v_{0} t+s_{0} \) is called the \( \qquad \) is moving in a vertical line with a constant acceleration \( a \). equation, and it models the height \( s \) of an object at time \( t \) that
SKILLS AND APPLICATIONS
In Exercises 7-10, determine whether each ordered triple is a solution of the system of equations.
7. \( (6 x-y+z=-1 \)
15. \( \left\{\begin{aligned} 4 x-2 y+z & =8 \\ -y+z & =4 \\ z & =11\end{aligned}\right. \)
\[
\text { 16. }\left\{\begin{aligned}
5 x-8 z & =22 \\
3 y-5 z & =10 \\
z & =-4
\end{aligned}\right.
\]