Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
To determine the type of equation we are dealing with, let's start by simplifying and analyzing the given equation:
The given equation is:
[tex]\[ 4(x + 3) = 40 \][/tex]
First, let's distribute the 4 on the left side:
[tex]\[ 4 \cdot x + 4 \cdot 3 = 40 \][/tex]
[tex]\[ 4x + 12 = 40 \][/tex]
Next, let's isolate the variable [tex]\( x \)[/tex]. We can do this by first subtracting 12 from both sides of the equation:
[tex]\[ 4x + 12 - 12 = 40 - 12 \][/tex]
[tex]\[ 4x = 28 \][/tex]
Then, divide both sides by 4 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{28}{4} \][/tex]
[tex]\[ x = 7 \][/tex]
Now that we have simplified and solved the equation, we can see that it is of the form [tex]\( ax + b = c \)[/tex], where [tex]\( a \)[/tex], [tex]\( b \)[/tex], and [tex]\( c \)[/tex] are constants, and [tex]\( x \)[/tex] is the variable.
Therefore, the given equation is a linear equation.
So, the type of equation is:
[tex]\[ \boxed{\text{Linear}} \][/tex]
The given equation is:
[tex]\[ 4(x + 3) = 40 \][/tex]
First, let's distribute the 4 on the left side:
[tex]\[ 4 \cdot x + 4 \cdot 3 = 40 \][/tex]
[tex]\[ 4x + 12 = 40 \][/tex]
Next, let's isolate the variable [tex]\( x \)[/tex]. We can do this by first subtracting 12 from both sides of the equation:
[tex]\[ 4x + 12 - 12 = 40 - 12 \][/tex]
[tex]\[ 4x = 28 \][/tex]
Then, divide both sides by 4 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{28}{4} \][/tex]
[tex]\[ x = 7 \][/tex]
Now that we have simplified and solved the equation, we can see that it is of the form [tex]\( ax + b = c \)[/tex], where [tex]\( a \)[/tex], [tex]\( b \)[/tex], and [tex]\( c \)[/tex] are constants, and [tex]\( x \)[/tex] is the variable.
Therefore, the given equation is a linear equation.
So, the type of equation is:
[tex]\[ \boxed{\text{Linear}} \][/tex]
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.