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padilas [110]
3 years ago
14

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

Mathematics
1 answer:
Dimas [21]3 years ago
6 0

Answer:

x = -44/13

y = -65/13

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)

|A| = 8 + 5

|A| = 13

After replacing the first row with the column matrix;

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

|Ax| = 9(-1)-5(7)

||Ax| = -9 - 35

|Ax| = -44

x = |Ax|/|A|

x = -44/13

similarly for y

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

|Ay| = 8(7)+9

|Ay| = 56+9

|Ay| = 65

y = |Ay|/|A|

y = -65/13

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mote1985 [20]
Washington: 117 Hits
Sanchez: 93 Hits

Hope this helps, have a nice day!
8 0
3 years ago
The length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 14 ft2 . find the dimensions of th
omeli [17]
Given: A= 14 ft²  and  l= 2w-3 
formula for area of a rectangle is A=lw
substitute for what you know and simplify: 
14=(2w-3)w -> w= either -2 or 7/2 but because a width value can not be negative you can eliminate the -2 value. w=7/2 
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5 0
3 years ago
A building with a height of 14 m casts a shadow that is 16 m long while a taller building casts a 24 m long shadow. What is the
uranmaximum [27]
26 i am not really sure cuz what i did was 16-14= 2 
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5 0
3 years ago
Read 2 more answers
Tom has a can of paint that covers 37 1/2 m² each board on the fence has a area of 3/16 m² how many boards can he paint.
kramer

Step-by-step explanation:

37 and 1/2 divided by 3/16 =

75/2 divided by 3/16 =

75/2 * 16/3 =

25*8 = 200 <--- 75 cancels 3; 16 cancels 2

8 0
3 years ago
I need help with these ASAP thanks
Nataly_w [17]

Answer:

a. y=\frac{2x}{x-5}

b. y=\frac{2-4x}{x-3}

Step-by-step explanation:

change switch x and y and then solve for y.

a. x=\frac{5y}{y-2}

x(y-2)=5y

xy-2x=5y

xy-5y=2x

y(x-5)=2x

y=\frac{2x}{x-5}

same for b.

b. x=\frac{3y+2}{y+4}

x(y+4)=3y+2

xy+4x=3y+2

xy-3y=2-4x

y(x-3)=2-4x

y=\frac{2-4x}{x-3}

4 0
3 years ago
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