Question

Dont graph it for me (it auto graphs it)

Answer 1

Answer:

$y\leq -x+22$

$y\geq -0.5x + 16$

(8,13)

8 nickels

13 dimes

Step-by-step explanation:

x = nickels

y = dimes

$x+y\leq 22$

$x+y\leq 22\\\\-x -x\\\\y\leq -x+22$

$0.05x+0.10y\geq 1.60\\\\-0.05x -0.05x\\\\0.10y\geq -0.05x+1.60\\\\/0.10 /0.10\\\\y\geq -0.5x + 16$

(8,13)

8 nickels

13 dimes

Check your answer:

$y\leq -x+22$

$y\geq -0.5x + 16$

$y\leq -x+22\\\\13\leq -8+22\\\\13\leq 14$

This statement is true

$y\geq -0.5x + 16\\13\geq -0.5(8)+16\\13\geq -4+16\\13\geq 12$

This statement is true

Hope this helps!