First set up your two equations:
x + y = 90
x = 2y - 30
Then substitute what x equals in the second equation into the first equation:
(2y -30) + y = 90
Now solve for y:
3y -30 = 90
3y = 120
y = 40
Then use y = 40 and substitute the value for y into one of your original equations and solve for x. I'll choose the first one, but either one will work.
x+ 40 = 90
x = 50
So your solution is x = 50 and y = 40
Answer:
Option B 13 units is correct.
Step-by-step explanation:
The formula used to find distance between 2 points is:
x₁ = 12 x₂ = 0 y₁= 9 and y₂=4
Putting values in the formula:

So, Option B 13 units is correct.
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I would try drawing the line on a coordinate plane to help.
<h3>
Answer: B) 7 units</h3>
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Explanation:
The y coordinates of the two points are the same, so we can subtract the x coordinates and apply absolute value
|R - T| = |-6 - 1| = |-7| = 7
Or we can say
|T - R| = |1 - (-6)| = |1 + 6| = |7| = 7
Either way, the two points are 7 units apart.
You could use the distance formula to get the same answer, but that's definitely overkill in my opinion. The trick mentioned above also could work if the x coordinates were the same, but the y coordinates were different. In any other case, you would have to use the distance formula.