the scale of a scientific drawing is 1cm = 2 in., If the actual length of an object in the drawing was 4.5 inches, how long woul
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The solution for the system equations is (2 , 0 , -2).
<h3>System of Equations</h3>
A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.
You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other. To solve this question, you will apply the addition method.
The question gives three equations:
(1) 4x−2y+z=6
(2) −2x+y=−4
(3) 3y−2z=4
You should isolate the variable x in equation (2), then you will have
. After that, you should use this variable in equation (1), see below
Equation 1 (4x−2y+z=6)
If z=-2, from equation (3), you find y, see below.
3y-2z=4
3y-2*(-2)=4
3y+4=4
3y=4-4
3y=0
y=0
If y=0, from equation (2), you find x, see below.
−2x+y=−4
-2x+0=-4
-2x=-4
x=2
Read more about solving systems equations here:
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Answer:
$6,376.92
Step-by-step explanation:
-Let d be the rate of depreciation per year.
-Therefore, the value after n years can be expressed as:
#We substitute for the years 2009-2013 to solve for d:
#We then use the calculated depreciation rate above to solve for A after 10 yrs:
Hence, the value of the car after 10 yrs is $6,376.92