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forsale [732]
2 years ago
7

Solve the simultaneous equations: 5x + 2y = 17 4x + y = 10

Mathematics
1 answer:
erik [133]2 years ago
8 0

Answer:

(1, 6 )

Step-by-step explanation:

5x + 2y = 17 → (1)

4x + y = 10 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the y- term

- 8x - 2y = - 20 → (3)

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

- 3x + 0 = - 3

- 3x = - 3 ( divide both sides by - 3 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for x

Substituting into (1)

5(1) + 2y = 17

5 + 2y = 17 ( subtract 5 from both sides )

2y = 12 ( divide both sides by 2 )

y = 6

solution is (1, 6 )

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3 years ago
What is 85 percent as a decimal and fraction
Nesterboy [21]
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5c + 3 ≥ 6x -8<br><br> Solve the following inequality for cc. Write your answer in simplest form.
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c≥2(x-2) ÷ 5

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3 years ago
Graph the equation with work y=-3
Varvara68 [4.7K]

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7 0
3 years ago
there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three time
hoa [83]

This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

z is the number of quarters.

In all, they are worth $3.65.

A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:

0.05x + 0.1y + 0.25z = 3.65

Dimes: 3 times greater than nickels:

This means that:

y = 3x

Quarters: One greater than double the number of nickels:

This means that:

z = 2x + 1

Value of x:

We have y and z as function of x, so we can replace into the equation and find the value of x, so:

0.05x + 0.1y + 0.25z = 3.65

0.05x + 0.1(3x) + 0.25(2x+1) = 3.65

0.05x + 0.3x + 0.5x + 0.25 = 3.65

0.85x = 3.4

x = \frac{3.4}{0.85}

x = 4

y and z:

y = 3x = 3(4) = 12

z = 2x + 1 = 2(4) + 1 = 9

There are 9 quarters, 4 nickels and 12 dimes.

A similar question is found at brainly.com/question/17096268

4 0
3 years ago
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