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3 years ago

What is the solution to this system of equations? Show your work. 46 points

Mathematics

2 answers:

Brums [2.3K]3 years ago

8 0

Y - x = 9
12 = 1/3x

The first thing you want to do when solving a system of equations is isolating one of the variables.
Since the second equation only contains x, we can isolate x in the first equation.

y - x = 9
y = x + 9
x = y - 9

You can also solve the second equation without any previous solving.
12 = 1/3x
Multiple both sides by 3/1 or 3
x = 36

Now we can set them equal to each other

36 = y - 9
y = 45

Answer: x = 36 and y = 45

Snezhnost [94]3 years ago

3 0

Answer:

The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect. To solve a system is to find all such common solutions or points of intersection.

Step-by-step explanation:

Isolate x for 12=1/3x: x=36

[y - 36=9]

the solutions to the system of equation is:

y=45 x=36

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Dmitry_Shevchenko [17]

Answer:

The length of the rectangle is 6.

Step-by-step explanation:

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If you know the special 3 4 5 triangle, a so called Pythagorean Triple, then you can "see" the simularity between the numbers.

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Instead of 4, the height of 8 is given (factor of 2 bigger). By scaling the Pythagorean Triple 3 4 5 by a factor of 2, you get the numbers 6 8 10. Could it be, that the number we need to find, is six?

Try to verify, by calculating the missing number (which is the length of the rectangle we are looking for).

a² + b² = c²

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Substitute the numbers given:

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Subtract 8² left and right of the = sign.

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Elenna [48]

Refer to the image for the graph of the lines.

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another line with a slope m = -2.

Disclaimer: Let us assume that the constant c = 0.

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Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.

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g: blue line indicates a line with a slope of "negative" 2.

Learn more at:

brainly.com/question/28360812

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