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Alona [7]
3 years ago
6

Use Cramer's Rule to solve each system. 5x – 3y = 8 -2x - y = 10

Mathematics
2 answers:
mezya [45]3 years ago
8 0

Answer: x = - 2

y = - 6

Step-by-step explanation:

A 2 × 2 matrix would be formed. The steps are shown in the attached photo.

zlopas [31]3 years ago
6 0

Answer:

-2, -6

Step-by-step explanation:

using cramer rule

5    -3    

-2   -1    

calculatiing the determinant = (5 x-1) - (-3x-2) = -5 -(6) = -5-6=-11

using cramer rule

to calculate x we change the coefficient of x with the answer (8,10)

8   -3

10   -1

we calculate determinant = (8x-1)-(-3x10) = -8-(-30) = -8+30 =22

to calculate x

22/-11= -2

to calculate y we change the coefficient of y with the answer (8,10)

5   8

-2   10

we calculate determinant = (5x10)-(8x-2) = 50 -(-16) = 50 +16=66

to calculate y

66/-11= -6

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Given: ∠A and ∠B are complementary angles.
Eddi Din [679]

Answer:

 - For the statement -3x=24, the reason is: <em>Subtraction property of Equality</em>

- For the statement x=-8, the reason is: <em>Division property of Equality.</em>

- For the statement m\angle B=-6(-8)-39, the reason is: <em>Substitution property of Equality.</em>

Step-by-step explanation:

The missing pictures are attached.

We must remember that:

- The Subtraction property of Equality states that:

If\ a=b,\ then\ a+c=b+c

- The Division property of Equality states that:

If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}

- The Substitution property of Equality states that:

 If\ a=b,\ then\ b\ can\ replace\ a

Knowing this properties we can identify the missing reasons that correctly complete the proof.

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Subtraction property of Equality

(Because it is obtained by subtracting  66 from both sides of -3x+66=90)

- For the statement x=-8, the reason is:

Division property of Equality

(Because it is obtained by dividing both sides of  -3x=24 by -3)

- For the statement m\angle B=-6(-8)-39, the reason is:

Substitution property of Equality

(Because it is obtained by substituting the value of "x" into   m\angle B=-6x-39)

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