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3 years ago

The equation |2x – 12|= 10 has two solutions. The sum of those two solutions is

Mathematics

2 answers:

s2008m [1.1K]3 years ago

4 0

Answer:

x=11

Step-by-step explanation:

when we add 10 and 12 we get 22 and when we divide

22 by 2 we get 11

zlopas [31]3 years ago

3 0

Answer:

-5 and +5

Step-by-step explanation:

add twelve to both sides

New equations: 2x= -+10

Divide by 2 on both sides

x=-5, +5

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Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedure

Umnica [9.8K]

Answer:

The solution of the Given matrix

( x₁ , x ₂ ) = ( - 5 , 4 )

Step-by-step explanation:

Step(i):-

Given equations are x₁+4 x₂ = 11 ...(i)

2 x₁ + 7 x₂= 18 ...(ii)

The matrix form

A X = B

$\left[\begin{array}{ccc}1&4\\2&7\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\8\\\end{array}\right]$

Step(ii):-

$\left[\begin{array}{ccc}1&4\\2&7\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\8\\\end{array}\right]$

The Augmented Matrix form is

$[AB] = \left[\begin{array}{ccc}1&4&11\\2&7&18\\\end{array}\right]$

Apply Row operations, R₂ → R₂-2 R₁

$[AB] = \left[\begin{array}{ccc}1&4&11\\0&-1&-4\\\end{array}\right]$

The matrix form

$\left[\begin{array}{ccc}1&4\\0&-1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\-4\\\end{array}\right]$

The equations are

x₁ + 4 x₂ = 11 ...(a)

- x ₂ = - 4

x ₂ = 4

Substitute x ₂ = 4 in equation (a)

x₁ + 4 x₂ = 11

x₁ = 11 - 16

x₁ = -5

Final answer:-

The solution of the Given matrix

( x₁ , x ₂ ) = ( - 5 , 4 )

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