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jekas [21]
3 years ago
12

Solve the system of equations -x+y=15−x+y=15 and -5x-3y=27−5x−3y=27 by combining the equations

Mathematics
1 answer:
Genrish500 [490]3 years ago
8 0

Answer:

<em>Solution: x= -36, y=51</em>

Step-by-step explanation:

Solve the system:

  x +   y = 15

-5x - 3y = 27

By using the reduction method.

Multiply the first equation by 3:

 3x + 3y = 45

Add it to the second equation:

3x - 5x = 45 + 27

Simplifying:

-2x = 72

Dividing by -2:

x = 72/(-2)

x = -36

From the first equation:

-36 + y = 15

Adding 36:

y = 15 + 36 = 51

y = 51

Solution: x= -36, y=51

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Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts. This means that the line parallel to y=-2x + 3 will have the same slope which is -2.

We will input the x and y coordinates for the given point into the formula and solve for the y-intercept to write the equation.

-100 = -2(-100) + b      where b is the y-intercept

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The y intercept is -500 and the slope is -2 therefore, the equation will be  

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3 years ago
It takes 4 people 6 days to paint a wall. How many days would it take 12 people
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Step-by-step explanation:

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3 years ago
Explain how to determine if the two expressions are equivalent using x = 6 and x = 2. 2x 4 – 1 3 x x.
Kitty [74]

The two expressions are equivalent.

<h2>Linear system</h2>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

2x + 4 - 1 can be represented as 2x + 3

3 + x + x  can be represented as 3 + 2x

<h3>To find </h3>

The two expressions are equivalent.

<h3>How do find the two expressions are equivalent?</h3>

At x = 6

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Both are equal.

At x = 2

2x + 3    and     3 + 2x

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More about the linear equation link is given below.

brainly.com/question/20379472

7 0
2 years ago
at the beach mike built a sandcastle that was 2 3/6 feet high if he added a flag that was 2 2/4 feet high what is the total heig
MakcuM [25]
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 1. You have the following information given in the problem:

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 - Mike added a flag that has a height of 2 2/4 feet.

 2. Then, you only have to sum 2 3/6 feet and 2 2/4, as below:

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6 0
3 years ago
A farmer wants to fence a rectangular garden next to his house which forms the northern boundary. The fencingfor the southern bo
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Step-by-step explanation:

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The cost function is given by:

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A=S*W\\A=10*10 = 100\ ft^2

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