Answer:
8x+6y=48
x+y=7
multiply bottom equation by 6:
8x+6y=48
6x+6y=42
subtract equations:
2x=6
divide 6 by 2:
x=3
therefore:
y=4
Answer:
x = 3.8
Step-by-step explanation:
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Answer:
Step-by-step explanation:
The triangles are not similar. Looking at the diagram, triangle STU is smaller than triangle PQR. If they are similar, it would mean that
ST/PQ = TU/QR = SU/PR
This means that there would be a scale factor. Substituting, the values, it becomes
ST/PQ = 7/9 = 0.78
TU/QR = 10/15 = 0.67
SU/PR = 8/12 = 0.67
Therefore, since
ST/PQ ≠ TU/QR ≠ SU/PR
The triangles are not similar.
Answer:
a) payment: $1082.84
b) interest: $194,822.40
Step-by-step explanation:
The monthly payment on the mortgage can be found using the given formula with the given values of principal (P=195000), interest rate (r=0.053), and time period (t=30). The value of n is 12, corresponding to the number of months in a year.
<h3>a)</h3>
The monthly payment is ...
__
<h3>b) </h3>
The interest owed is the difference between the total of monthly payments and the principal of the loan:
interest owed = (360)(1082.84) -195000 = 194,822.40
The interest owed over 30 years is $194,822.40.
These are known as simultaneous equations,,
2x + y= -3 take this as 1st equation
x-2y=-4 take this as 2 nd equation
therefore x - 2y= -2 should be multiplied by 2 inorder to cut off 2x and 2x from the first and second equations.
by multiplying we get 2x - 4y = -4
therefore 3rd equation should be substracted from 1st equation...
now, 2x -4y - 2x -y = -4-(-3)
therefore, -2x and +2x is cut.
as a result -5y= -1
therefore y = 1 /5
then let us find x
2x + y = -3
::: 2x + 1/5= -3
therefore 2x= -3-1/5
finally, x= -16/5÷2
then x= 8/5
