Question

x*(y+(-6))=(13*(-19)+(13*z)​

Answer 1

The values are x = 13 , y = - 19 , z = - 6

Correct question : Find the value of x ,y,z from the following x × [y + (-6)] = [13 × (-19)] + [13 × z]

Given :

$\displaystyle \sf{x \: \times \: [y + ( - 6)] =[13 \times ( - 19)] +[13 \times z] }$

To find :

The value of x , y , z

Concept :

Distributive Property :

For three real numbers a , b , c

$\sf{a \times (b + c) = (a \times b) + (a \times c)}$

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{x \: \times \: [y + ( - 6)] =[13 \times ( - 19)] +[13 \times z] }$

Step 2 of 2 :

Find the value of x , y , z

We apply the Distributive Property

$\sf{a \times (b + c) = (a \times b) + (a \times c)}$

Thus we get

$\displaystyle \sf{x \: \times \: [y + ( - 6)] =[13 \times ( - 19)] +[13 \times z] }$

$\displaystyle \sf\implies x \: \times \: [y + ( - 6)] =13 \times [( - 19) + z]$

Comparing both sides we get x = 13 , y = - 19 , z = - 6

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Apply the distributive property to create an equivalent expression. 5*(−2w−4)

https://brainly.in/question/33967867

2. Complete the following product (x-3)(x^(2)+3x+9)

https://brainly.in/question/25709643