Systems of Equations
India
Class X
Describing solutions to linear systems in three unknowns
Interactive practice questions
Consider the following system of 3 equations:
| $8x$8x | $+$+ | $3y$3y | $+$+ | $7z$7z | $=$= | $\frac{160}{9}$1609 |
| $24x$24x | $+$+ | $9y$9y | $+$+ | $21z$21z | $=$= | $\frac{320}{9}$3209 |
| $3x$3x | $+$+ | $8y$8y | $+$+ | $8z$8z | $=$= | $\frac{160}{3}$1603 |
a
The system has:
One solution.
A
No Solution.
B
Infinite solutions.
C
b
The system is:
Consistent
A
Inconsistent
B
Easy
< 1min
Consider the following system of equation:
| $6x$6x | $+$+ | $5y$5y | $+$+ | $2z$2z | $=$= | $14$14 |
| $30x$30x | $+$+ | $25y$25y | $+$+ | $10z$10z | $=$= | $70$70 |
| $18x$18x | $+$+ | $15y$15y | $+$+ | $6z$6z | $=$= | $42$42 |
Easy
1min
Consider the following system of three equations:
| $9x$9x | $+$+ | $9y$9y | $+$+ | $9z$9z | $=$= | $135$135 |
| $45x$45x | $+$+ | $45y$45y | $+$+ | $45z$45z | $=$= | $675$675 |
| $x$x | $+$+ | $y$y | $+$+ | $z$z | $=$= | $15$15 |
Easy
< 1min
Consider the following system of 3 equations:
| $2x$2x | $+$+ | $9y$9y | $+$+ | $\frac{2}{14}z$214z | $=$= | $3$3 | ----- equation $1$1 |
| $6x$6x | $+$+ | $27y$27y | $+$+ | $\frac{3}{7}z$37z | $=$= | $9$9 | ----- equation $2$2 |
| $8x$8x | $+$+ | $36y$36y | $+$+ | $\frac{4}{7}z$47z | $=$= | $12$12 | ----- equation $3$3 |
Medium
< 1min
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