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Misha Larkins [42]
3 years ago
9

If a = 1, find the values of b, c and d that make the given expression equivalent to the expression below.

Mathematics
1 answer:
vlada-n [284]3 years ago
8 0

Answer:

To do this, you need to multiply out the expressions. This is a bit tedious, but remember like FOIL for binomials, for these trinomials you must multiply each term. If you need a step-by-step, I'd be happy to provide it. Let me know.

Once you have simplified the expression, you get

-x-9/2x-4

But, the problem stipulates that a must equal 1. We can equivalently factor out the negative sign and put it on the denominator with no change to write

x+9/-(2x-4) = x+9/-2x+4

So, seeing where each coefficient corresponds between the two expressions, you get a = 1, b = 9, c = –2, and d = 4.

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Use matrix inversion to solve the collection of systems of linear equations. HINT [See Example 4.] (a) −x − 4y + 2z = −10 x + 2y
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Answer:

Step-by-step explanation:

given is a system of linear equations in 3 variables as

-x - 4y + 2z = −10\\ x + 2y - z = 11 \\x + y - z = 14

This can be represented in matrix form as

AX=B Or

\left[\begin{array}{ccc}-1&-4&2\\1&2&-1\\1&1&-1\end{array}\right] *\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-10\\11\\14\end{array}\right]

So solution set

X would be A^{-1} B

|A|=-1(-1)+4(0)+2(-1)=--1

Cofactors of A are

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0     1      2

So inverse of A is

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1     3      -2

Solution set would be

x=12

y=-3

z=-5

8 0
3 years ago
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