Answer:
w = 2
Step-by-step explanation:
Distribute the expression and compare like terms with the simplified version.
Given
wx(3y² + 6y - 2) ← distribute parenthesis
= 3wxy² + 6wxy - 2wx
Compare coefficients of like terms with
6xy² + 12xy - 4x
Compare xy² term, then
3w = 6 ( divide both sides by 3 )
w = 2
Compare xy term, then
6w = 12 ( divide both sides by 6 )
w = 2
Compare x term, then
- 2w = - 4 ( divide both sides by - 2 )
w = 2
Hence the required value of w is 2
Your answer is, get the variable by itself.
The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation.
<h3><u>
What is an equation?</u></h3>
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =
<h3><u>
3 types of equations</u></h3>
Thus, <u>option a</u> is your answer.
Learn more about equations here
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keep in mind that, a negative coefficient to "x", will make the graph reflect over the y-axis.