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2 years ago

Explain how to solve a system of equations using the addition method. Use 3x - 4y=12 and 2x+y=8 to illustrate.

Mathematics

1 answer:

DerKrebs [107]2 years ago

3 0

The solution to the equations 3x - 4y=12 and 2x+y=8 are x = 4 and y = 0

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two equations:

3x - 4y=12 and

2x+y=8

Multiplu by 4 on both side in equation 2x+y=8

8x + 4y = 32

Add the equaton 8x + 4y = 32 and 3x - 4y=12

3x - 4y=12

8x + 4y = 32

11x = 44

x = 4

Similarly, we can find the value of y:

y = 0

Thus, the solution to the equations 3x - 4y=12 and 2x+y=8 are x = 4 and y = 0

Learn more about the linear equation here:

brainly.com/question/11897796

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2 years ago

bob has 64 cups. could he distribute them into 6 equally in stacks and not have any left over? Explain

Iteru [2.4K]

Bob cannot distribute the cups in six equal stacks and not have any left over.

Step-by-step explanation:

In order to divide the total number of cups in six equal stacks with no left over, the total number of cups will be divided by 6, if there is any remainder then the cups cannot be equally divided with no left over.

Dividing 64 by 6

$= \frac{64}{6} \\= 10\frac{4}{6}$

Here

Quotient = 10

Remainder = 4

As there are 4 cups left, Bob cannot distribute the cups in six equal stacks and not have any left over.

Keywords: Division, fractions

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3 years ago

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Oksana_A [137]

The 8th character would be 58

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3 years ago

Write a cosine function that has a midline of 3, an amplitude of 4 and a period of pi.

Artist 52 [7]

Step-by-step explanation:

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2 years ago

In the figure, two poles are 25 m and 35 m high. A cable 23 m long Joins the tops of the poles. Find the distance between the po

sukhopar [10]

Answer: 20.71 m

Step-by-step explanation:

Given

the length of the poles are 25m and 35 m

The length of the cable is 23 m

Suppose the distance between them is x

From the figure, apply Pythagoras theorem

$\Rightarrow 23^=x^2+10^2\\\Rightarrow 529-100=x^2\\\Rightarrow x^2=429\\\\\Rightarrow x=\sqrt{429}=20.71\ m$

Distance between Poles is 20.71 m

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3 years ago