Explain how to write an equivalent expression for the expression 3(4x + 2y) + 5x. Be sure to explain which properties you used. What method can you use to prove the 2 expressions are equivalent?

Using multiplicative and additional property .

= 17x +6y

Step-by-step explanation:

3(4x + 2y) + 5x.

Multiplicative property.

Using 3 to multiply what's inside the bracket.

= 3*4x + 3*2y +5x

= 12x + 6y +5x

Addition property.

Collection of all like terms together.

All values with same alphabets are going to be added together

= 12x +5x +6y

= 17x +6y

To prove if 3(4x + 2y) + 5x.= 17x +6y

Let's assume both x and y to be 1

We have

3(4(1) + 2(1)) + 5(1) = 17(1) + 6(1)

3(6)+5=17 +6

23= 23.

Proved.

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: