Respuesta :
The given equation 3(x+10)+6=3(x+12) has infinitely many solutions.
We have the following expression
[tex]3(x+10)+6=3(x+12)[/tex]
We must rewrite both sides of the equation.
For this, we use the distributive property.
What is the distributive property?
A (B + C) = AB + AC
We have then
3(x+10)+6=3(x+12)
Adding like terms we have
3x+30+6=3x+36
3x+36=3x+36
We observe that we have two equal equations.
Therefore, the equations intersect for any value of x.
Therefore, the equation has infinite solutions.
infinitely many solutions.
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Answer:
What is the distributive property?
A (B + C) = AB + AC
We have then
3(x+10)+6=3(x+12)
Adding like terms we have
3x+30+6=3x+36
3x+36=3x+36
We observe that we have two equal equations.
Therefore, the equations intersect for any value of x.
Therefore, the equation has infinite solutions.
infinitely many solutions.
Step-by-step explanation:
