How do you solve $2x + 1 = 9$ ?
Answer
623.4k+ views
Hint: Take out all the like terms to one side and all the alike terms to the other side. Take out all the common terms. Reduce the terms on the both sides until they cannot be reduced any further if possible. Then finally evaluate the value of the unknown variable.
Complete step by step answer:
First we will start off by taking all the like terms to one side.
$
2x + 1 = 9 \\
\,\,\,\,\,\,\,2x = 9 - 1 \\
$
Now we will take out any common terms from both sides if possible.
$\,2x = 9 - 1$
Now we will reduce the terms on both the sides.
$\,2x = 2(4)$
Now we simplify our final answer that is evaluate the value of the variable $x$.
$
\,2x = 2(4) \\
\,\,\,\,x = 4 \\
$
Hence, the value of $x$ is \[4\].
Additional Information: To cross multiply terms, you will multiply the numerator in the first fraction times the denominator in the second fraction, then you write that number down. Then you multiply the numerator of the second fraction times the number in the denominator of your first fraction, and then you write that number down. By Cross multiplication of fractions, we get to know if two fractions are equal or which one is greater. This is especially useful when you are working with larger fractions that you are not sure how to reduce. Cross multiplication also helps us to solve for unknown variables in fractions.
Note: While cross multiplying the terms, multiply the terms step-by-step to avoid any mistakes. After cross multiplication, take the variables to a side and integer type of terms to the other side. Reduce the terms by factorisation.
Complete step by step answer:
First we will start off by taking all the like terms to one side.
$
2x + 1 = 9 \\
\,\,\,\,\,\,\,2x = 9 - 1 \\
$
Now we will take out any common terms from both sides if possible.
$\,2x = 9 - 1$
Now we will reduce the terms on both the sides.
$\,2x = 2(4)$
Now we simplify our final answer that is evaluate the value of the variable $x$.
$
\,2x = 2(4) \\
\,\,\,\,x = 4 \\
$
Hence, the value of $x$ is \[4\].
Additional Information: To cross multiply terms, you will multiply the numerator in the first fraction times the denominator in the second fraction, then you write that number down. Then you multiply the numerator of the second fraction times the number in the denominator of your first fraction, and then you write that number down. By Cross multiplication of fractions, we get to know if two fractions are equal or which one is greater. This is especially useful when you are working with larger fractions that you are not sure how to reduce. Cross multiplication also helps us to solve for unknown variables in fractions.
Note: While cross multiplying the terms, multiply the terms step-by-step to avoid any mistakes. After cross multiplication, take the variables to a side and integer type of terms to the other side. Reduce the terms by factorisation.
Recently Updated Pages
If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

A car covers the first half distance between two places class 11 physics CBSE

The resultant of two vectors overrightarrow P and overrightarrow class 11 physics CBSE

Find the value of cos 135 class 11 maths CBSE

A mass M is held in place by an applied force F and class 11 physics CBSE

A solution of glucose in water is labelled as 10 dfracwv class 11 chemistry CBSE

Trending doubts
Find the value of the expression given below sin 30circ class 11 maths CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Draw a diagram of nephron and explain its structur class 11 biology CBSE

10 examples of friction in our daily life

Proton was discovered by A Thomson B Rutherford C Chadwick class 11 chemistry CBSE

Bond order ofO2 O2+ O2 and O22 is in order A O2 langle class 11 chemistry CBSE

