Estimate the solution to the system of equations.
2 answers:
Answer:
The solution is: x = -1, and y = 8/3
Step-by-step explanation:
Notice that the system of equations can be easily solved via the "elimination" method, by subtracting term by term one equation from the other. Doing such will remove completely the term in "y" (since the terms in "y" are exactly equal in both equations), and leave only an equation containing "x", for which the value can be solved:
Now we use this x-value in either equation to solve for y:
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Answer:
B(-5,5).
Step-by-step explanation:
It is given that midpoint of AB is M (-6,1).
Coordinates of A are (-7,-3 ).
We need to find the coordinates of point B.
Let coordinates of point B are (a,b).
Midpoint of AB is
On comparing both sides, we get
Therefore, the coordinates of B are (-5,5).
Part A:
Look at the image attached to my answer for the graph of the inequalities.
There are two different lines provided, one with a more negative slope than the other. The shaded area between them represents the solution set.
The green line is 2x+y≤8, the blue line is x+y≥4
Part B:
To test if (8, 10) is included, substitute x = 8 and y = 10 into both inequalities. If it doesn't satisfy one of them, then it isn't included in the solution area.
2(8) + 10 ≤ 8
16 + 10 ≤ 8
26 ≤ 8... 26 is NOT less then or equal to 8
Thus, (8, 10) cannot be a solution since the inequality is not true.
Part C:
I'm going to choose a random point from the graph, (2, 3). For your answer, any point in the shaded region where both x and y is positive will work.
The point (2, 3) means that Sarah can buy 2 cupcakes and 3 pieces of fudge to get at least 4 pastries for her siblings while staying within her 8 dollar budget.
Let me know if you need any clarifications. Happy Studying~
