Standard Level
4.07 Solving linear systems in three unknowns
Interactive practice questions
We want to determine if the ordered triple $\left(-9,-7,4\right)$(−9,−7,4) is a solution of the following system of equations.
| $-2x$−2x | $+$+ | $5y$5y | $-$− | $3z$3z | $=$= | $-29$−29 |
| $-3x$−3x | $+$+ | $y$y | $+$+ | $4z$4z | $=$= | $38$38 |
| $-4x$−4x | $+$+ | $2y$2y | $+$+ | $3z$3z | $=$= | $34$34 |
a
Find the missing values by substituting in the ordered triple $\left(-9,-7,4\right)$(−9,−7,4).
| $-2x$−2x | $+$+ | $5y$5y | $-$− | $3z$3z | $=$= | $\editable{}$ |
| $-3x$−3x | $+$+ | $y$y | $+$+ | $4z$4z | $=$= | $\editable{}$ |
| $-4x$−4x | $+$+ | $2y$2y | $+$+ | $3z$3z | $=$= | $\editable{}$ |
b
Is the ordered triple $\left(-9,-7,4\right)$(−9,−7,4) a solution of the system of equations?
Yes
A
No
B
Easy
3min
We want to determine if the ordered triple $\left(1,-5,-3\right)$(1,−5,−3) is a solution of the following system of equations.
| $4x$4x | $-$− | $5y$5y | $+$+ | $3z$3z | $=$= | $20$20 |
| $4x$4x | $-$− | $5y$5y | $-$− | $z$z | $=$= | $32$32 |
| $-x$−x | $+$+ | $2y$2y | $-$− | $5z$5z | $=$= | $4$4 |
Easy
2min
Is the ordered triple $\left(\frac{3}{4},\frac{4}{5},\frac{2}{5}\right)$(34,45,25) a solution of the following system?
| $5x$5x | $+$+ | $y$y | $+$+ | $3z$3z | $=$= | $\frac{23}{4}$234 |
| $4x$4x | $+$+ | $3y$3y | $+$+ | $5z$5z | $=$= | $\frac{37}{5}$375 |
| $2x$2x | $-$− | $4y$4y | $+$+ | $3z$3z | $=$= | $-\frac{1}{2}$−12 |
Easy
1min
Is the ordered triple $\left(1.1,0.3,1.7\right)$(1.1,0.3,1.7) a solution of the following system?
| $3x$3x | $+$+ | $y$y | $-$− | $5z$5z | $=$= | $-5.9$−5.9 |
| $5x$5x | $+$+ | $y$y | $-$− | $4z$4z | $=$= | $-1$−1 |
| $5x$5x | $-$− | $2y$2y | $-$− | $4z$4z | $=$= | $-1.9$−1.9 |
Easy
1min
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