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kiruha [24]
3 years ago
7

Geometry What is the value of x?

Mathematics
1 answer:
denis23 [38]3 years ago
8 0

Answer:

  x = 17 1/3

Step-by-step explanation:

Corresponding segments are proportional.

  (3x)/(4x) = (3x +7)/(5x -8)

  3(5x -8) = 4(3x +7) . . . . . . . . multiply by 4(5x-8)

  15x -24 = 12x +28 . . . . . . eliminate parentheses

  3x = 52 . . . . . . . . . . add 24-12x

  x = 17 1/3 . . . . . . . . . divide by 3

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use the matrix tool to solve the system of equations enter the answer as an ordered pair. 8x+5y=9 -x+y=7
Dimas [21]

Answer:

x = -44/13

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Step-by-step explanation:

Using matrix form means using the crammers rule

The matrix form of the expression is written as;

\left[\begin{array}{ccc}8&5\\-1&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}9\\7\\\end{array}\right]

AX = B

taking the determinant of A;

|A| = 8(1) - 5(-1)

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|A| = 13

After replacing the first row with the column matrix;

A_x =\left[\begin{array}{ccc}9&5\\7&-1\\\end{array}\right]

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x = |Ax|/|A|

x = -44/13

similarly for y

A_x =\left[\begin{array}{ccc}8&9\\-1&7\\\end{array}\right]

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