Kyle is asked to solve a system of equations by substitution: 2x + 3y = 12 x - 2y = 4 which step should kyle take first? why?
2 answers:
The given system of equations is
and
From the given set of options, it would be best for Kyle if he takes <u>option C</u> as the first step. That is, "Kyle should solve the second equation for x because x has a coefficient of 1".
This is because it will make further solution easy. Let us know how.
The coefficient of x is 1. Thus, x will be represented as: after adding
to both sides. Now, this can be substituted in the first equation and we can solve for y. Once that is done we can easily solve for x using any of the two equations (whichever is the easiest).
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Answer:
Rule: replace x by x - a where a is the number of units that you want to move right. a must be greater than 0. x - - a would move left.
Step-by-step explanation:
You want f(x) to move 3 units to the right.
That would mean that x would be replaced by x - 3. Just to be sure let's try it.
- Suppose you have f(x) = x^2 + 6x + 5 It is graphed as the red line
- Now suppose you want to move 3 units right.
- It would replaced like f(x - 3) = (x - 3)^2 + 6(x - 3) + 5 which is the blue line
- Notice nothing else is changed. The blue line looks exactly like the red line except that it is shifted 3 units to the right.
