Answer:
x=3, y=-1
Step-by-step explanation:
We are already given an equation solved for x, making substitution much easier. We know x=4y+7, meaning we can put 4y+7 whenever we see x in the second equation
2x-6y=12
We substitute 4y+7 in place of x
2(4y+7)-6y=12
Now we only have one variable to work on, distribute the 2
8y+14-6y=12
Combine similar terms, 8y-6y=2y
2y+14=12
Subtract 14 from both sides
2y=-2
y=-1
Now we plug in -1 for y in the first equation to find x
x=4(-1)+7
x=-4+7
x=3
Answer:
27. Alternate exterior angles are congruent.
28. Same-side interior angles are supplementary.
Step-by-step explanation:
27. The two angles whose measures are set equal by the equation are on opposite sides of the transversal, so are "opposite." They are "outside" the space between the parallel lines, so are "exterior." These descriptors identify the angles as "opposite exterior" angles. The theorem/postulate that lets you set their measures equal is ... [the one written above].
28. The two angles whose measures are added in the equation are on the same side of the transversal, so are "same-side" angles. They are "inside" the space between the parallel lines, so are "interior." These descriptors identify the angles as "same-side interior" angles. The theorem/postulate that says their measures sum to 180° is ... [the one written above].
Answer:
Ascending- 10%, 0.2, 1/4, 30%
Descending- 30%, 1/4, 0.2, 10%
Step-by-step explanation:
0.2 = 2/10 = 4/20
1/4 = 5/20
30% = 30/100 = 6/20
10% = 10/100 = 2/20
Ascending
-2/20, 4/20, 5/20, 6/20
- 10%, 0.2, 1/4, 30%
Descending
- 6/20, 5/20, 4/20, 2/20
- 30%, 1/4, 0.2, 10%
The system of equations does not have one solution because the lines will never intersect (last one)
Answer:
1) 4
2) 15/2
3) 75
Step-by-step explanation:
