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Anastasy [175]
2 years ago
14

If a + b = 10 what is the value of 2(a + b) + a + b/6 + (a + b) ^ 2 - 2

Mathematics
1 answer:
Tatiana [17]2 years ago
3 0

Answer:

a+b=6.....(1)

a-b=2.......(2)

Adding equiation (1)&(2), we get

2a=8

a=4

putting value of a in equiation (1), we get

4+b=6

b=6-4=2

therefore a=4 and b=2

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Answer:

\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]

Step-by-step explanation:

The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9

\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right]

To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.

A^{-1} = (1 / determinant of A) x Adjoint of A

the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2

Adjoint of A = \left[\begin{array}{ccc}6&-2&\\-2&1\\\end{array}\right]

A^{-1}= \frac{1}{2} \left[\begin{array}{ccc}6&-2\\-2&1\end{array}\right] = \left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]

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Answer:

x+18

Step-by-step explanation:

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