Respuesta :
The missing value is 312 and the complete equation is 20 × 16 = 4x + 312, so that it has one solution of x = 2.
Given: Find the missing value which completes the equation 20 × 16 = 4x +? when x = 2.
What are algebraic equations?
Algebraic equations are a sequence or combination of characters containing alphabets, numbers, variables, symbols, operators, operands, etc. that equates to some value. It can simplify a bigger problem by deriving an equivalent expression for the same.
What are unknown variables?
Unknown variables are those variables whose value is yet not known. These variables are just declared for a better understanding of the problem but have no value yet. We need to find the value of unknown variables by solving one or more algebraic equations.
Let's solve the given problem.
Given that: 20 × 16 = 4x +?
We need to find the missing value that will satisfy the equation when x = 2.
Let us consider the missing value to be y.
So, the equation can be written as: 20 × 16 = 4x + y.
or 4x + y = 20 × 16
Given the find the value of y when x = 2.
So replacing the value of x with 2.
4 × 2 + y = 20 × 16
8 + y = 20 × 16
8 + y = 320
Adding (-8) on both sides
8 + y + (-8) = 320 + (-8)
8 + y - 8 = 320 - 8
y = 312
Therefore, the missing value is 312
Hence the missing value is 312 and the complete equation is 20 × 16 = 4x + 312, so that it has one solution of x = 2.
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