If x + y = 6, then solve for y to get: y = 6 - x.
Now replace y with 6 - x in both equations.
(5x)/3 + 6 - x = c
2(6 - x) = c - 4x
The upper equation is solved for c.
Now we solve the lower equation for c.
c = 2(6 - x) + 4x
c = 12 - 2x + 4x
c = 2x + 12
Since we have two equations solved for c, we substitute to get
(5x)/3 + 6 - x = 2x + 12
This is an equation in only x, so we can solve for x.
(5x)/3 - 3x = 6
5x - 9x = 18
-4x = 18
x = -9/2
Now we solve for y.
x + y = 6
-9/2 + y = 6
y = 9/2 + 12/2
y = 21/2
Now we solve for c.
c = (5x)/3 + y
c = (5 * (-9/2))/3 + 21/2
c = -45/6 + 21/2
c = -15/2 + 21/2
c = 6/2
c = 3
Answer: c = 3
Answer:
y=-4/3x-8/3
Step-by-step explanation:
Use the slope formula y2-y1/x2-x1
Finding the slope, 4-(-4)/-5-1 = 8/-6 = -4/3
y=-4/3x + b
Substituting,
-4=-4/3+b
-12/3+4/3=b
b=-8/3
y=-4/3x-8/3
Answer:
360 - Y
Step-by-step explanation:
From the information provided in the question, we will understand that the question lacks detailed information.
Given that:
The total number of actual students on the A honor roll = 360
To find the number of students on the A honor roll of 8th graders;
Let denote Y to represent the total number of students who exist on the A honor roll except for the 8th graders.
Then:
The number of 8th graders = all number of students on are on the A honor roll - Y
The number of 8th graders = 360 - Y
If Y is known, then the number of the 8th graders can be fully determined.
Answer:
5/9
Step-by-step explanation:
complement means not choosing an orange
P( not choosing orange) = (apple and fruit) / total
= (4+6) / (4+6+8)
=10/18
= 5/9
Variable: a symbol for a number you don’t know yet
inequality: 60=22+8x
