Answer:
a = 5
Step-by-step explanation:
When the coefficients of the variables are equal with different constants, then you will get an equation which is never true.
For this particular equation, when a on the right side has a coefficient of 5, you will get the equation: 4(a - 2) + a = 5a - 4.
When you distribute the factors in the parenthesis and add the like terms of a together, 4(a - 2) + a will become 5a - 8. This is because 4(a - 2) + a = 4(a) + 4(-2) + a = 4a - 8 + a = 5a - 8.
Now when you simplify 5a - 8 = 5a - 4 by subtracting 5a from both sides, you will get an equation with unlike constants. For instance 1 = 0.
Now:
5a - 8 = 5a - 4
-5a -5a
-8 = -4
This is never true, so therefore, there is no solution.
Answer:
A Rational Number can be made by dividing two integers
The cordinate plane can be used to plot points and graph lines
15 more paper airplanes are needed
Answer:
The length is 15 and the width is 10
Step-by-step explanation:
Let l = length
w = l-5
We know the area is 150
A = l*w
150 = l ( l-5)
150 = l^2 - 5l
Subtract 150 from each side
0 = l^2 - 5l - 150
Factor
0= ( l+10) ( l-15)
Using the zero product property
l+10 =0 l-15=0
l = -10 l = 15
Since we cannot have a negative length
l = 15
w = 15-5 = 10
The length is 15 and the width is 10