For the following system if you isolated X in the second equation to use the substitution method what expression would you subst
1 answer:
Option A. зу + 12 is the right answer
Step-by-step explanation:
The substitution method consists of finding the value of a variable from one equation and then putting it into another equation to find the value of other variable.
Given equations are:
We have to isolate x in the 2nd equation
Multiplying equation by -1
Subtracting 3y from both sides
Hence,
Option A. зу + 12 is the right answer
Keywords: linear equations, Variables
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Given:
The height of the given trapezoid = 6 in
The area of the trapezoid = 72 in²
Also given, one base of the trapezoid is 6 inches longer than the other base
To find the lengths of the bases.
Formula
The area of the trapezoid is
where, h be the height of the trapezoid
be the shorter base
be the longer base
As per the given problem,
Now,
Putting, A=72, and h=6 we get,
or,
or,
or,
or,
or,
So,
The shorter base is 9 in and the other base is = (6+9) = 15 in
Hence,
One base is 9 inches for one of the bases and 15 inches for the other base.