Answer: a. 30x^2 − 26x − 12
First write the equation in a form to better help visualize.
(5x - 6)(6x + 2)
Then use distributive property on the second binomial from the first binomial. <em>You multiply 5x by 6x and 2, then multiply -6 by 6x and 2.</em>
5x * 6x = 30x^2 (The answer is raised to the power of 2 because you're adding the invisible exponents, aka exponents of 1)
Then multiply 5x by 2
5x * 2 = 10x
Then you repeat the process but with -6 instead of 5x.
-6 * 6x = -36x (It is not raised to a power of 2 because -6 does not have a variable to include the invisible exponent)
-6 * 2 = -12
Now take all of your answers and put them into 1 equation by the order you did them.
30x^2 + 10x - 36x -12
But wait! The answer can still be simplified. All you have to do is combine like terms. <em>However 30x^2 can't be combined with 10x because 10x isn't raised to the second power, terms can only be combined if they have the same variable and exponent.</em>
30x^2 + (10x - 36x) - 12
30x^2 - 26x - 12
Answer:
x = 10 - 2y
Step-by-step explanation:
The question is telling you to express x in terms of y. Essentially, you solve the given equation(s) for x.
x can be found from the first equation by subtracting 2y from both sides:
x = 10 - 2y
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When there are infinitely many solutions, either x or y can be arbitrarily chosen, and the appropriate value computed for the other variable.
Here, the answer is telling you "type an expression using y as the variable as needed." That is, y is selected to be the variable arbitrarily chosen, and we need an expression that will tell us the corresponding value of x. The appropriate expression is found by rearranging the equation(s) to "make x the subject". (I call that process "solve the equation for x.")
<span>-2x+5y=-10
Substitute 0 for y
</span><span>-2x+5(0)=-10
Multiply 5 by 0
-2x=-10
Divide both sides by -2
Final Answer: x=5
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