Solve:6(y + 4) = 6y + 10 a) y = 10
b) y = 24
c) infinitely many solutions
d) no solutions

d) No solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

6(y + 4) = 6y + 10

Step 2: Solve for y

Here we see that 24 does not equal 10.

∴ There are no solutions.

sine

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it