Acollection of nickels and dimes is worth $9.45. if the number of dimes is doubled, the value is
$16.65. find the number of each coin using substitution.

The number of nickels is 45 and the number of dimes is 72.

Step-by-step explanation:

Let

x ----> number of nickels

y ----> number of dimes

Remember that

so

------> equation A

------> equation B

Solve the system by substitution

we have

------> equation A

------> equation B

Multiply both equations by 100 both sides

----> --> equation C

----> equation D

substitute equation C in equation D

solve for y

Find the value of x

Alternative Method

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is the point (45,72)

therefore

The number of nickels is 45 and the number of dimes is 72.

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step-by-step explanation:

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb