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elena-s [515]
2 years ago
8

3) Solve the System of Equations using Elimination/Combinations. (5 points)

Mathematics
1 answer:
Schach [20]2 years ago
3 0

Answer:

(1, 2 )

Step-by-step explanation:

Given the 2 equations

- 2x - y = - 4 → (1)

x + 2y = 5 → (2)

Multiplying (2) by 2 and adding result to (1) will eliminate x- term

2x + 4y = 10 → (3)

Add (1) and (3) term by term to eliminate x

0 + 3y = 6

3y = 6 ( divide both sides by 3 )

y = 2

Substitute y = 2 into either of the 2 equations and solve for x

Substituting into (2)

x + 2(2) = 5

x + 4 = 5 ( subtract 4 from both sides )

x = 1

solution is (1, 2 )

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You invested money in two funds. Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you receiv
pishuonlain [190]

Answer: $7800 was invested at 9%

$5900 was invested at 3%

Step-by-step explanation:

Let x represent the amount invested in the fund that paid a dividend of 9%.

Let y represent the amount invested in the fund that paid a dividend of 3%.

Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $879. This means that

0.09x + 0.03y = 879- - - - - - - - - 1

This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $839. It means that

0.1x + 0.01y = 839 - - - - - - - - - -2

Multiplying equation 1 by 0.1 and equation 2 by 0.09, it becomes

0.009x + 0.003y = 87.9

0.009x + 0.0009y = 75.51

Subtracting, it becomes

0.0021y = 12.39

y = 12.39/0.0021

y = 5900

Substituting y = 5900 into equation 1, it becomes

0.09x + 0.03 × 5900 = 879

0.09x + 177 = 879

0.09x = 879 - 177

0.09x = 702

x = 702/0.09

x = 7800

4 0
3 years ago
14. Thomas counts the number of cars he sees in the parking lot of the school each hour of the
lesya692 [45]

Answer:

D

Step-by-step explanation:

it is because each number is gotten by adding 12 to the previous number

8 0
2 years ago
2x^5-3x^4-5x^3-15x^2-207x+108<br>zeros: 3i<br>find the remaing zeros
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The real solutions are {x=-3, x= \frac{1}{2} , x=4}.

The imaginary solutions are {x=-3i, x=3i}.
4 0
3 years ago
I need this whole page solved please
Nuetrik [128]

Answer:

5. 540°

Step-by-step explanation:

m<a + m<c = 180°

m<h + m<f = 180°

m<k + m<m = 180°

Then m<a + m<c + m<h + m<f + m<k + m<m = 180° x 3 = 540°

3 0
1 year ago
Simplify the ratio 9/12
Alex777 [14]
3:4 This is the answer
5 0
2 years ago
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