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Olegator [25]
3 years ago
5

Given that

Mathematics
2 answers:
Readme [11.4K]3 years ago
5 0
X=4 please take a picture next time
telo118 [61]3 years ago
4 0
X equals 4

Hope this helps!!
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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

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

6 0
3 years ago
1. Angle 3 and Angle 6 are examples of which type of angle pair?
mars1129 [50]
Your answer is:Alternate Interior Angles
4 0
3 years ago
Solve the system using the elimination method.
spayn [35]

Answer:

  (x, y, z) = (-22/13, 29/13, 6/13)

Step-by-step explanation:

Adding the first and second equations, we get ...

  (3x +2y -3z) +(7x -2y +5z) = (-2) +(-14)

  10x +2z = -16 . . . . collect terms

  5x + z = -8 . . . . . . divide by 2 . . . [eq4]

Adding twice the second equation to the third, we get ...

  2(7x -2y +5z) +(2x +4y +z) = 2(-14) +(6)

  16x +11z = -22 . . . . . . [eq5]

Now, we have two equations with the variable y eliminated. We can subtract [eq5] from 11 times [eq4] to eliminate z:

  11(5x +z) -(16x +11z) = 11(-8) -(-22)

  39x = -66

  x = -66/39 = -22/13

From [eq4], we can find z as ...

  z = -8 -5x = -8 -5(-22/13) = 6/13

And from the second equation, we get ...

  y = (1/2)(7x +5z +14) = (1/2)(7(-22/13) +5(6/13) +14) = 29/13

The solution is (x, y, z) = (-22/13, 29/13, 6/13).

6 0
3 years ago
A box of 25 munchkins cost $5.46 what is the unit rate per munchkin
timurjin [86]

The unit rate per munchkin is $0.22.

<h3>What is Division?</h3>

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

The cost of 25 munchkins cost $5.46, therefore, the unit rate of each munchkin can be written as,

\text{Cost of unit munchkin} = \dfrac{\text{Total cost of munchkins}}{\text{Number of munchkins}}\\\\\text{Cost of unit munchkin} = \dfrac{\$5.46}{25}=\$0.2184 \approx \$0.22

Hence, the unit rate per munchkin is $0.22.

Learn more about Division:

brainly.com/question/369266

#SPJ1

5 0
2 years ago
What rational number equals 0.1111111111
Katen [24]

Answer:

1/9

Step-by-step explanation:

1/9 is a fraction, so it is rational.

6 0
2 years ago
Read 2 more answers
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