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3 years ago

What is the solution to the system of equations?

Mathematics

1 answer:

alukav5142 [94]3 years ago

6 0

Answer:

(x, y) = (-4, 15)

Step-by-step explanation:

The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.

(3x +y) -(2x +y) = (3) -(7)

x = -4 . . . . . . . . simplify

Now, we can find y by substituting this value for x.

2(-4) +y = 7

y = 7 +8 = 15 . . . . . add 8 to both sides of the equation

The solution is (x, y) = (-4, 15).

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madam [21]

Answer:

a.) f(x) = $\frac{1}{30}$ where 90 < x < 120

b.) $\frac{2}{3}$

c.) $\frac{2}{3}$

d.) $\frac{1}{2}$

Step-by-step explanation:

Let

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a.)

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P(x < 110) = $\int\limits^{110}_{90} {\frac{1}{30} } \, dx$

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c.)

P(x > 100 ) = $\int\limits^{120}_{100} {\frac{1}{30} } \, dx$

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3 years ago

I need help on this specific equation: 10x+1=3x+9

Yuri [45]

Well, first you'd have to get the x by it's self.
10x+1=3x+9
Subtract 3x from each side and you'll have the x on only one side rather than two.
7x+1=9
Now I'd get rid of the 1 on the x's side. So just subtract 1 from each side.
7x=8
Then you should make it so the seven isn't there with the x either. Just divide each side by 7.
Answer: x=8/7
Each time you change something on one side, you must do the same to the other side. T find the value of a variable in an equation, simple seclude it so it's on it's own without number to make things confusing.
The answer was x=8/7 btw.

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