Answer:
1.
-3x + 8y = -5
6x + 2y = -8
Set the equations to a common variable.
-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8
6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4
Set the equations equal to each other.
3/8x - 5/8 = -3x - 4
Combine like terms.
3x + 3/8x = -4 + 5/8
3.375x = -3.375
Divide by 3.375
x = -1
Plug x back in to find y.
-3x + 8y = -5
-3(-1) + 8y = -5
3 + 8y = -5
8y = -8
y = -1
answer: (-1, -1)
2.
3x + 2y = -16
-3x - 8y = 46
Set the equations to a common variable.
3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8
-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4
Set the equations equal to each other.
-3/2x - 8 = -3/8x - 23/4
Combine like terms.
-9/8x = 9/4
or
-1.125x = 2.25
Divide by -1.125
x = -2
Plug x back in to find y.
3(-2) + 2y = -16
-6 + 2y = -16
2y = -10
y = -5
answer: (-2, -5)
Answer:
-3.84
Step-by-step explanation:
Answer:
y=17
Step-by-step explanation:4(y+8)=100
We move all terms to the left:
4(y+8)-(100)=0
We multiply parentheses
4y+32-100=0
We add all the numbers together, and all the variables
4y-68=0
We move all terms containing y to the left, all other terms to the right
4y=68
y=68/4
y=17
Answer: -4 is the answer
Step-by-step explanation:
Answer:
x = 109
Top Right Angle = 109
Bottom Right Angle = 71
Step-by-step explanation:
Notice the two right angles on the left and recognize that the figure is a a quadrilateral (4 sides). That means it adds up to a total of 360 degrees.
(x-38) + x + 90 + 90 = 360
2x + 142 = 360
2x = 218
x = 109
(x - 38) = (109 - 38)
71 degrees for bottom right angle
109 for top right angle
