Here are the step for solving this:
1. 3y + 5 > 23
-5 -5
3y/3 > 18/3
y > 6
In words what you are doing is getting y by itself on one side. Subtract the 5 to undo the adding of 5 first. Then, divide both sides by 3.
Answer: <u>3.7</u>
Step-by-step explanation: 3.706, but since you need it rounded to the nearest tenth its 3.7. If you put both equations on a graph, they intercept. We use the x coordinate in this intersection as the answer.
X - 2y= 14
x - 3y= - 11 | * ( -1)
x - 2y = 14
-x + 3y= 11
----------------
/ y= 25
x - 2*25= 14
x - 50 =14
x= 14+50
x=64
Co-interior properties. 180 degrees = two co-interior angles.
180 = (2y+50) + (3y+40)
180 = 5y + 90
90 = 5y
/5 /5
18 = y
Angle 1: 2y + 50
2(18) + 50
36 + 50
86
Angle 2: 3y + 40
3(18) + 40
54 + 40
94
86 + 94 = 180 so it is true.
Now the sides.
On a parallelogram, 5x+2 and 8x-7 must be equal
5x + 2 = 8x - 7
2 = 3x - 7
9 = 3x
/3 /3
3 = x
Side 1: 5x + 2
5(3) + 2
15 + 2
17
Side 2: 8x - 7
8(3) - 7
24 - 7
17
Both sides are equal; 17.
Angle 1: 86
Angle 2: 94
Sides: 17
