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The system of inequalities below describes the relationship between Cori's age C and Livy's age L. C + L ≥ 43 C - 4L ≤ 3 Livy could be 13 years old and Cori could be 35 years old.

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MrRoyal

Answer:

Cori could be 35 years old.

Livy could be 8 years old

Step-by-step explanation:

Given

[tex]C + L \ge 43[/tex]

[tex]C - 4L \ge 3[/tex]

Required

Possible values of C and L

Make C the subject in: [tex]C - 4L \ge 3[/tex]

[tex]C \ge 3 + 4L[/tex]

Substitute for C in [tex]C + L \ge 43[/tex]

[tex]3 + 4L + L \ge 43[/tex]

[tex]3 + 5L \ge 43[/tex]

Collect like terms

[tex]5L \ge 43-3[/tex]

[tex]5L \ge 40[/tex]

Solve for L

[tex]L \ge 8[/tex]

Solve for C

[tex]C \ge 3 + 4L[/tex]

[tex]C \ge 3 + 4 * 8[/tex]

[tex]C \ge 35[/tex]

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