Use the substitution method to solve the system of equations. Choose the correct ordered pair.
2 answers:
Answer:
Ordered pair (x,y) is (6,2)
Step-by-step explanation:
Use the substitution method to solve the system of equations.
-----> first equation
-------> second equation
Divide the first equation by 2
-----> first equation
Now solve for y, subtract x from both sides
Now plug in -x+8 for y in second equation
-------> second equation
Subtract x from both sides
Subtract 8 on both sides
Divide both sides by -2
x=6
now we plug in 6 for x in second equation
-------> second equation
y=2
Ordered pair (x,y) is (6,2)
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Answer: The correct option is figure (1).
Explanation:
Reason for correct option:
The figure (1) shows the reflection across the side XY followed by reflection across the side YT.
When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.
After that we reflect the triangle XYT across the side YT and we get the triangle PYT.
Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.
Reason for incorrect options:
The figure (2) shows the rotation of 180 degree along the point y.
The figure (3) shows the reflection across the side XY followed by the translation.
The figure (4) shows the reflection, followed by rotation , followed by translation.
