Hey, I’m pretty sure the answer is y=1/2x + 0.
To explain, we can plug the x value into the equation for all of the x values, and we will get our y value.
So the first one,
y=1/2(1) + 0 —> 1/2
The second one,
y=1/2(2) + 0 —> 1
And so forth, the rest of the equations will be correct. I hope that helps ! :D
That is what it looks like
<span> x - 4y = -5
-x + 6y = 7
---------------add
2y = 2
y = 1
</span> x - 4y = -5
x - 4(1) = -5
x - 4 = -5
x = -1
answer
x = -1 and y = 1
Answer: UV = 52
Concept:
Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
<u>Given information</u>
TU = 4x
UV = 2x + 14
TV = 7x - 5
<u>Given expression deducted from the additive property of length</u>
TV = TU + UV
<u>Substitute values into the expression</u>
7x - 5 = 4x + 2x + 14
<u>Combine like terms</u>
7x - 5 = 6x + 14
<u />
<u>Subtract 6x on both sides</u>
7x - 5 - 6x = 6x + 14 - 6x
x - 5 = 14
<u>Add 5 on both sides</u>
x - 5 + 5 = 14 + 5
x = 19
<u>Find UV by substituting the value of x</u>
UV = 2x + 14 = 2 (19) + 14 = 
Hope this helps!! :)
Please let me know if you have any questions