There are several ways you can solve this problem if you're trying to solve for m and n. You can substitute, or systems of equations. However, I'm going to use substitution:

2m + n = 0 => n = -2m

We can input that in for the other equation:

m + 2n = 3 now becomes: m + 2(-2m) = 3

Now we can solve:

m + 2(−2m) = 3

m + −4m = 3

(m + −4m) = 3 (Combine Like Terms)

−3m=3

m = -1

Now we can input that value in to solve for n:

We said that n = -2m, and m = -1, so n = -2(-1):Answer:

n = 2

Your final answer is m = -1, and n = 2, which can also be written as (m,n) = (-1,2)

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However, if you were solving for m+n:

You would add the two equations!:

2m + n = 0

m + 2n = 3

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3m + 3n = 3

Now, you can take 3 common:

3(m+n) = 3

m + n = 1

Your final answer for what m + n equals 1!

3 0

3 years ago

Find the length of the unknown side. Round your answer to the nearest whole number.

aleksley [76]

The answer is 72.8. in order to solve this problem, you need to use the pythagorean theorem. the equation is c^2-b^2=a^2.

75^2-18^2=a^2

75 squared minutes 18 squared is 5301. then you need to find the square root of 5301.

the square root of 5301 is 72.8079666, rounding to 72.8.

6 0

3 years ago

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Using the quadratic formula to solve 7x2 – x = 7, what are the values of x?

Kruka [31]

How the quadratic formula works:

For any quadratic equation ax² + bx + c = 0, the solution is $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ .

In the case of our equation 7x² - x = 7, first we need to subtract 7 from each side so that we have 0 on the right.
7x² - x - 7 = 0

Identify the values of a, b, and c.
a = 7, b = -1, and c = -7.

Plug these into our quadratic formula and solve.

$x=\frac{-(-1)\pm\sqrt{(-1)^2-4(7)(-7)}}{2(7)}=\boxed{\frac{1\pm\sqrt{197}}{14}$

There are two values for x: (1+√197)/14 and (1-√197)/14.
The approximate values for these are 1.073976 and -0.931119.

5 0

3 years ago

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What is 75/120 in simplest form?

Likurg_2 [28]

Simplify by dividing a common factor (5). 15/24. Check to see if it can be simplified. Repeat (using 3). 5/8. Check to see if it can be simplified. It can't, so the answer is 5/8

7 0

3 years ago

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