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

One solution.

A

No Solution.

B

Infinite solutions.

C

b

The system is:

Consistent

A

Inconsistent

B

Consistent

A

Inconsistent

B

Easy

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Form and use systems of simultaneous equations, including three linear equations and three variables, and interpret the solutions in context

Apply systems of simultaneous equations in solving problems