<u>Given</u>:
Four lines are marked proportion, the length of TW can be determined by
<u>Value of a:</u>
Let us set the proportion for the given lines.
Thus, we have;
Thus, the value of a is 5.6
<u>Value of b:</u>
Let us set the proportion for the given lines.
Thus, we have;
Thus, the value of b is 5.
<u>Length of TW:</u>
The length of TW is given by
Thus, the length of TW is 13.6
Step-by-step explanation:
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In order to solve using elimination, we need to be able to get rid of one variable, so that we can solve for the other. We need to subtract these two equations given from one another, or multiply the bottom equation by a negative and add them together.
(-5x + 6y = 8) - (-5x + 4y = 2)
(-5x + 6y = 8) + (5x - 4y = -2)
0x + 2y = 6
2y = 6
y = 3
Now that we know the value of one variable, we can take that value and plug it back into one of the original equations and solve for the value of the other variable.
-5x + 6y = 8
-5x + 6(3) = 8
-5x + 18 = 8
-5x = -10
x = 2
The solution to this system of equations is (2, 3).
Hope this helps!! :)
