Question

How do you solve \[y + 12 = 7\]?

Answer 1

Hint: The equation is an algebraic equation, where the algebraic equation is the combination of constants and variables. To solve the above algebraic equation, we use the simple arithmetic operations a and we can find the value of y.

Complete step-by-step solution:
The algebraic expression is an expression which consists of variables and is consistent with the arithmetic operations. The above equation is a linear equation where the linear equation is defined as the equations are of the first order. Since by solving these types of equations we get only one value.
Now we solve the given equation, let us consider the equation
\[y + 12 = 7\]
take 12 to RHS, while the number move to RHS it will become -12
\[ \Rightarrow y = 7 - 12\]
on simplifying we get
\[ \Rightarrow y = - 5\]
Therefore, the value of y is -5.
We can also check whether the obtained solution is correct one or not.
now consider the equation
\[y + 12 = 7\]
Substitute the value of y as -5
\[ \Rightarrow - 5 + 12 = 7\]
on simplifying we get
\[ \Rightarrow 7 = 7\]
 hence LHS = RHS
Therefore the value which we had obtained is correct. Hence we have solved the given equation
Therefore, the value of y is -5.

Note: The algebraic equation or an expression is a combination of variables and constants, it also contains the coefficient. The alphabets are known as variables. The x, y, z etc., are called as variables. The numerals are known as constants. The numeral of a variable is known as co-efficient. We have 3 types of algebraic expressions namely monomial expression, binomial expression and polynomial expression. By using the arithmetic operations we can solve the equation.