Ben has twenty-six coins in her pocket are all dollars(1$ coins) and quarters, and they add up to seventeen dollars in value. How many of each coin does he have

14 $1 coin

12 quarter coin

Step-by-step explanation:

Let :

x = $1 dollar coin

y = $0.25 (1 quarter) coin

x + y = 26 - - - (1)

1x + 0.25y = 17 - - - - (2)

From (1) :

x = 26 - y

Put x = 26 - y in (2)

1(26 - y) + 0.25y = 17

26 - y + 0.25y = 17

-y + 0.25y = 17 - 26

-0.75y = - 9

Divide both sides by - 0.75

-0.75y /- 0.75 = - 9 / - 0.75

y = 12

Put y = 12 in (1)

x = 26 - 12

x = 14

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

just take the area of the square and then the area of the circle then subtract the circle area from the squares area

step-by-step explanation: