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Estheridn

Answer:

[tex]y\leq -x+22[/tex]

[tex]y\geq -0.5x + 16[/tex]

(8,13)

8 nickels

13 dimes

Step-by-step explanation:

x = nickels

y = dimes

[tex]x+y\leq 22[/tex]

[tex]x+y\leq 22\\\\-x -x\\\\y\leq -x+22[/tex]

[tex]0.05x+0.10y\geq 1.60\\\\-0.05x -0.05x\\\\0.10y\geq -0.05x+1.60\\\\/0.10 /0.10\\\\y\geq -0.5x + 16[/tex]

(8,13)

8 nickels

13 dimes

Check your answer:

[tex]y\leq -x+22[/tex]

[tex]y\geq -0.5x + 16[/tex]

[tex]y\leq -x+22\\\\13\leq -8+22\\\\13\leq 14[/tex]

This statement is true

[tex]y\geq -0.5x + 16\\13\geq -0.5(8)+16\\13\geq -4+16\\13\geq 12[/tex]

This statement is true

Hope this helps!

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