MATHEMATICS MIDDLE SCHOOL

4x -9y= -42
x+5y=4
Solve by elimination

Answers

Answer 1
Answer:

The solution to the system of equation 4x - 9y = -42 and x + 5y = 4 is x = -6 and y = 2.

What is the solution to the system of equations?

Given the system of equations in the question:

4x - 9y = -42

x + 5y = 4

To solve the system of equations using the elimination method, first multiply the second equation by 4:

4[ x + 5y = 4 ] → 4x + 20y = 16

Hence, we have:

4x - 9y = -42

4x + 20y = 16

Subtract the first equation from the second equation to eliminate 4x:

0 - 29y = -58

29y = 58

y = 58/29

y = 2

Plug y = 2 into equation 2 and solve for x;

x + 5y = 4

x + 5(2) = 4

x + 10 = 4

x = 4 - 10

x = -6

Therefore, the value of x is -6 and y is 2.

Learn more about system of equations here:brainly.com/question/28948523

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Answer 2
Answer:

Answer:

x = -6 and y = 2

Step-by-step explanation:

4x-9y = -42

x+5y = 4

4x-9y = -42

4x + 20y = 16

Take them away from each other.

-29y = -58

Find what one y is by dividing.

-58 / -29 = 2

y = 2

Substitute back into original.

x + 10(5*y) = 4

Take 10 away to find x.

x = -6

Check if answer is correct.

4x - 9y = -42

-24 - 18 = -42

Final Answer: x = -6 and y = 2

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Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4 kg. The total weight of Carl's baggage is 35 kg.Write an equation to determine the weight, w, of each of Carl's checked bags.

Answers

Carl has 3 bags in total. One backpack weighs 4 kg and the rest two checking bags have the equal weight. The total weight of 3 bags is given to be 35 kg.

Let the weight of each checking bag is w kg. So we can write:

2 x (Weight of a checking bag) + Weight of Backpack = 35

Using the values, we get:

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Using this equation we can find the weight of each checking bag, as shown below.

2w = 31

w = 31/2

w = 15.5

Thus, the weight of each checking bag is 15.5 kg

Answer: Weight of each of Carl's checked bags is 15.5 kg.

Step-by-step explanation:

Since we have given that

Number of checked bags of equal weight = 2

Weight of a backpack = 4 kg

Total weight of Carl's baggage = 35 kg

Let the weight of checked bags be 'w'.

According to question,

2w+4=35\n\n2w=35-4\n\n2w=31\n\nw=(31)/(2)\n\nw=15.5\ kg

Hence, Weight of each of Carl's checked bags is 15.5 kg.

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Answers

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Answers

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Answers

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Answers

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