6 x − 3 = − 5 x + 7
6 x − 3 + 3 = − 5 x + 7 + 3
6 x + 5 x = − 5 x + 5 x + 10
11 x = 10
x = 11 10
The average rate of change in the interval is r{a} = 15 .
What is equation modelling? What is a mathematical equation and expression?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
A mathematical equation is used to equate two expressions.
Given is the equation as -
6x −3 = − 5x +7
We have -
6x −3 = − 5x +7
6x + 5x = 7 + 3
11x = 10
x = 10/11
Therefore, the value of [x] will be equivalent to 10/11.
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The solution to the equation 6 x − 3 = − 5 x + 7 is x = 11 10 .
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