Solve by using elimination. Express your answer as an ordered pair.
2 answers:
Greetings again.
The answer is (-2,0)
Explanation:
This one is different from other 2 previous questions. The last and previous 2 questions have positive y for another equation and negative y for another equation which makes them 0 (As y - y = 0)
But this one is different. y-terms both are negative for both equations. If we decide to add -2y and -2y then It'd make -4y which doesn't make 0.
And how are we gonna solve by elimination? That's simple. By multiplying one of the equation by -1.
We can do that, to eliminate y-term out. Choose one equation to multiply. I'll be multiplying -1 in the first equation.
Multiply -1 in whole equation.
Remind that negative multiply/distribute in negative equal positive always.
And x + 2y = -2 is your new equation from the first equation.
This is our new equations. Then we are able to eliminate y-term.
In case if you forget again, we can simply add/subtract vertically.
x+4x = 5x
2y-2y = 0
-2-8 = -10
That's how we get 5x=-10 and thus x = -2.
We already get x-value, and you know that we need to find the y-value too.
Therefore, substitute x = -2 in any given equations. Less coefficient value, the faster and better.
I'll substitute in -x-2y=2
Substitute x = -2 in the equation.
Thus, when x = -2, y = 0. Since you want the answer as ordered pair, then the answer is (-2,0)
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The options are not clear enough, so i have attached it.
Answer:
A: The independent variable (x) is the amount of time Rosetta shoots photos. The dependent variable (y) is the amount, in dollars, Rosetta earns for a wedding.
Rosetta charges a one-time fee of $100 (this is when x = 0), so the y-intercept is 100. Rosetta earns $50 for each hour she works, so the slope is 50
Step-by-step explanation:
We are given the equation of total amount of money Rosetta earns per wedding as;
y = 50x + 100
Where x is number of hours.
Now, the independent variable will be x because it doesn't depend on any other variable whereas the dependent variable will be y because it depends on how many hours which is x.
Now, the y-intercept occurs when x = 0.
Thus;
y = 50(0) + 100
y = 100
Thus,she charges a one time fee of $100, so the y-intercept = $100 at x = 0.
From slope intercept equation which is;
y = mx + c and comparing with y = 50x + 100, where m is the slope, we can see that m = 50.
Thus, since she earns $50 per hour, the slope is 50.
The correct option is Option A.
