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4 years ago

Which ordered pair is the solution to the system of equations? 2x-5y=-5 x+2y=11

Mathematics

2 answers:

luda_lava [24]4 years ago

8 0

$2x-5y=-5\\
x+2y=11\\\\
2x-5y=-5\\
-2x-4y=-22\\
-------\\
-9y=-27\\
y=3\\\\
x+2\cdot3=11\\
x+6=11\\
x=5\\\\
(5,3)$

oee [108]4 years ago

7 0

2x-5y= -5
-2/*x+2y=11

2x-5y= -5
-2x-4y= -22
+------------------
-9y=-27
y=3

x+2y=11
x+2*3=11
x=5

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<h3>Complete question</h3>

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2 years ago

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3 years ago

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Since angle ACB and angle ECD are formed by intersecting segment AE and segment BD at point C, they are vertical angles. (See the attached picture) So, angle ACB and angle ECD are congruent.

Moreover when we form our bowtie, point A is in the north side and point E is in the bottom sides and this implies that angle BAC and angle CED are alternate interior angles as shown in the attached figure.

Since it is given in the problem that alternating interior angle are congruent, angle BAC and angle CED are congruent.

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In similar triangles, the sides that are opposite to the congruent angles are proportional to each other. So,

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x = 42(1/6)
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