Respuesta :
Answer:
No, They are not equivalent
Step-by-step explanation:
The two expressions are only said to be equivalent if they are the same regardless of whatever value the variable(s) is.
The variable in this question is x.
To prove this, we equate both expressions:
[tex]10x + 6 = 5x + 11[/tex]
[tex]10x - 5x = 11 - 6\\\\\\5x = 5\\\\\\x = 1[/tex]
This shows that they have the same value ONLY when x is 1.
This is why Andre says that they are equivalent, but they are not.
Yes, I agree with Andre because both the expression are equal at [tex]x=1[/tex]
Given equations are,
[tex]10x + 6...(1)\\5x + 11...(2)[/tex]
Substitution:
The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
Now, substituting [tex]x=1[/tex] into the equation (1) and (2) we get,
[tex]10(1)+6=16\\5(1)+11=16[/tex]
Hence, both the value of the equation (1) and (2) are equal.
Learn more about the Substitution:
https://brainly.com/question/26459607
