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

Yes

A

No

B

Easy

Approx 4 minutes

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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