Question

Given: 15+6(y−2)=21 Prove: y = 3 Drag and drop the reasons into the boxes to correctly complete the proof. Statement Reason 15+6(y−2)=21 Given 15+6y−12=21 6y + 3 = 21 6y = 18 y = 3

Answer 1

Answer:

Given:  $15+6(y-2)=21$

Distributive Property tells us that we multiply each term inside the parentheses with the term outside of the parentheses.

$a\cdot(b-c) =a\cdot b -a\cdot c$

Using distributive property on expression 6(y-2) to solve the further expression as:

$15+6\cdot y - 6\cdot 2=21$

Simplify:

$15+6y-12 =21$

Subtract the number 12 from 15 we get 3;

therefore, the expression become:

$6y+3=21$

Subtraction property of equality tells us that subtract the same number from both sides of an equation.

Now, subtract 3 from both the sides we get;

$6y+3-3=21-3$

Simplify:

$6y=18$

Now, divide by 6 on both the sides we get;

$\frac{6y}{6}= \frac{18}{6}$

On simplify we get;

y =3           Hence Proved!