stephonnagore
Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

By substitution, justify that x= − 6 is a solution to x − 2 = − x − 14

Sagot :

ᴜᴋɪʏᴏ

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

  • By substitution, justify that x = − 6 is a solution to x − 2 = − x − 14.

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

First, let's substitute the value of x as -6 in the equation.

[tex] \tt \: x - 2 = - x - 14 \\ \dashrightarrow \: \tt \: ( - 6) - 2 = - ( - 6) - 14[/tex]

Now, let's solve it.

[tex] \tt \: ( - 6 ) - 2 = - ( - 6 ) - 14[/tex]

Subtract 2 from -6 to get -8.

[tex] \tt \: -8=-\left(-6\right)-14 [/tex]

The opposite of -6 is 6.

[tex] \tt \: -8=6-14 [/tex]

Subtract 14 from 6 to get -8.

[tex] \tt \: -8=-8 [/tex]

Compare -8 and -8. We can see that both the LHS & RHS are equal to each other. So, hence we proved that x = − 6 is a solution of x − 2 = − x − 14.

AikoMikan

Hey there!

x - 2 = -x - 14

Substitute -6 for x (given).

x - 2 = -x - 14

= (-6) - 2 = -(-6) - 14

= -8 = +6 - 14

= -8 = -8

The Left Hand Side (LHS) is equal to the Right Hand Side (RHS).

•°• LHS = RHS, hence proved.

Hope it helps ya!

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.