Solve the system for x and y -3x+8y=103 -5x-8y=-255
1 answer:
9514 1404 393
Answer:
(x, y) = (19, 20)
Step-by-step explanation:
The coefficients of y are opposites, so we can add the two equations to eliminate y.
(-3x +8y) +(-5x -8y) = (103) +(-255)
-8x = -152
x = 19 . . . . . . . divide by -8
Substituting into the first equation, we have ...
-3(19) +8y = 103
8y = 160
y = 20
The solution is (x, y) = (19, 20).
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Answer:
Option (2)
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Point A is the midpoint of side XZ and point B is the midpoint of side YZ.
Triangle XYZ is cut by line segment AB. Point A is the midpoint of side XZ and point B is the midpoint of side YZ. The length of XY is (5x - 7), the length of AB is (x + 1), and the lengths of XA and ZA are (2x - 2). The lengths of YB and BZ are congruent.
What is AX ?
2 units
4 units
6 units
8 units
From the figure attached,
XYZ is a triangle having A and B as the midpoints of the sides XZ and YZ.
By the theorem of midpoints,
AB =
Since AB = (x + 1) and XY = (5x - 7)
(x + 1) =
2x + 2 = 5x - 7
5x - 2x = 2 + 7
3x = 9
x = 3
Therefore, side AB = 3 + 1 = 4 units
Side XY = (5x - 7)
= 15 - 7
= 8 units
Side XA = 2(x - 1)
= 4 units
Therefore, Option (2) will be the answer.
