1. 4x + 8y = 12....divide by 4
x + 2y = 3
2y = -x + 3
y = -1/2x + 3/2...slope is -1/2, y int is 3/2
x + 2y = -3
2y = -x - 3
y = -1/2x - 3/2...slope is -1/2 and y int is -3/2
when the slopes are the same, and the y int are different, then the lines are parallel and never intersect...so they have no solution and are inconsistent
=================
2. y = 2x - 1...slope is 2 and y int is -1
y = -2x + 5 ...slope is -2 and y int is 5
when the slopes are different and the y int are different, then there is 1 solution making it independent
=================
3. 4x - 12y = 8...divide by 4
x - 3y = 2
same as other equation meaning the equations are the same line...meaning they have infinite solutions making them dependent
Answer:
x= 200
Step-by-step explanation:
The given equation is:
1/5 x - 2/3 y = 30
The value of y is 15
Put the value of y in the given equation:
1/5 x - 2/3(15) = 30
1/5 x- 10 = 30
Take the L.C.M of the denominator
x-50/5 = 30
Move the denominator to the R.H.S
x-50 = 30*5
x-50 = 150
Combine the like terms
x= 150+50
x = 200
The value of x is 200...
Answer: AB
Step-by-step explanation:
AB is on the sideways of AD=BC.
Answer:
The length of BC is 17
Step-by-step explanation:
When we construct a triangle with the data, we will end up a isosceles triangle.
In a isosceles triangle , we know that tow angles and two sides are equal
The questions states that

Then sides AC and AB are also equal
On equation their values
2X - 8 = X+9
2X = X + 9 +8
2X = X + 17
2X - X = 17
X = 17
The length of BC = X = 17
Answer:
x = 57
Step-by-step explanation:
A triangles degrees add up to 180
67 + 56 = 123
180 - 123 = 57