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1 answer:
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Answer:
Step-by-step explanation:
Observe the picture attached.
Find the value of "x" and "y" using the Pythagoren Theorem:
If you solve for "a":
Where "a" is the hypotenuse and "b" and "c" are the legs.
In this case, for "x" you know that:
Then, the value of "x" is:
For "y" you can see that:
Subsituting values and solving for h, you get:
Answer:
(x, y) = (40, 30)
Step-by-step explanation:
A graphing calculator can show you the solution to this system of equations is (x, y) = (40, 30). That is the point of intersection where the two lines cross.
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An algebraic solution can be found by using the substitution method. An expression for y can be found using the second equation:
y = 110 -2x . . . . . . subtract 2x from both sides
Using this in the first equation gives ...
3x -4(110 -2x) = 0 . . . . substitute for y
11x = 440 . . . . . . . . . simplify, add 440
x = 40 . . . . . . . . . . divide by 11
y = 110 -2(40) = 30
The solution is (x, y) = (40, 30).
