Avendor sells pizza and soft drinks. a customer buys 8 slices of pizza and 6 drinks for$ 39.50.another customer buys 5 slices of pizza and 7 drinks for $30.44. find the cost of a slice of pizza

$3.61

Step-by-step explanation:

let p represent pizza and d represent drink, then

8p + 6d = 39.5 → (1)

5p + 7d = 30.44 → (2)

Multiplying (1) by 7 and (2) by - 6 and adding will eliminate d

56p + 42d = 276.5 → (3)

- 30p - 42d = - 182.64 → (4)

Add (3) and (4) term by term

(56p - 30p) + (42d- 42d) = (276.5 - 182.64), that is

26p = 93.86 ( divide both sides by 26 )

p = 3.61

That is a slice of pizza costs $3.61

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1