x = 5 and y = 6
Solution:
IJKL is a rectangle.
<em>In rectangle, opposite sides are equal.</em>
JK = IL
3x + 21 = 6y
Subtract 21 from both sides.
3x = 6y – 21
Divide by 3 on both sides, we get
x = 2y – 7 ---------- (1)
<em>In rectangle, opposite sides are equal.</em>
JI = KL
6y – 6 = 2x + 20
Substitute (1) in above equation, we get
6y – 6 = 2(2y – 7) + 20
6y – 6 = 4y – 14 + 20
6y – 6 = 4y + 6
Subtract 4y from both sides.
2y – 6 = 6
Add 6 on both sides.
2y = 12
y = 6
Substitute y = 6 in (1)
x = 2(6) – 7
x = 5
Hence x = 5 and y = 6.
Statements Reasons
1. M lies on AB Given
2. AM+MB=AB Definition of midpoint
3. 2x+2+4x-4 = 16 Segment Addition Postulate
4. 6x-2 = 16 Combining like terms
5. 6x = 18 Addition Property of equality
6. x = 3 Division Property of equality
7. AM=2(3)+2 and MB=4(3)-4 Substitution property of equality
8. AM=8 and MB=8 Definition of midpoint
9. M is a midpoint Hence, proved.
Answer:
I HOPE IT WILL HELP YOU.
I HOPE YOU WILL HAVE A GREAT DAY.
X + 3y = 12...when x = 1
1 + 3y = 12
3y = 12 - 1
3y = 11
y = 11/3
x + 3y = 12....when x = 2
2 + 3y = 12
3y = 12 - 2
3y = 10
y = 10/3
x + 3y = 12...when x = 3
3 + 3y = 12
3y = 12 - 3
3y = 9
y = 3
table :
x y
1 11/3
2 10/3
3 3
3(r-16)=9
3r-48=9
3r=57
r=19
