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3 years ago

Y=-x+2 y=-5x-6 What is y and x

1 answer:

6 0

To solve this system of equations, since y is already isolated in both equations, you can set the expressions to equal each other to solve for x:

-x + 2 = - 5x - 6
-x + 5x = -6 - 2
4x = -8
x = -2

Now that we have x, we can substitute it into one of the equations to find y:

y = -(-2) + 2
y = 2 + 2
y = 4

The last step is to substitute both values into both equations to see if they are correct:

4 = -(-2) + 2 --> 4 = 2 + 2 <--True
4 = -5(-2) - 6 --> 4 = 10 - 6 <--True

Answer:
x = -2
y = 4

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What is the value of f?

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Answer:

f(1/2) = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

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Step-by-step explanation:

Step 1: Define

f(x) = 8x - 6

f(1/2) is x = 1/2

Step 2: Evaluate

Substitute in x: f(1/2) = 8(1/2) - 6
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3 years ago

Division or is it multiply

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3 years ago

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What are the exact solutions of x^2 − 3x − 7 = 0?

bulgar [2K]

Given:

The given equation is $x^{2} -3x-7=0$

We need to determine the exact solutions of the equation.

Exact solution:

The exact solution of the equation can be determined by solving the equation using quadratic formula,

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

From the equation the values are a = 1, b = -3 and c = -7

Thus, substituting these values in the equation, we get;

$x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}$

$x=\frac{3 \pm \sqrt{9+28}}{2}$

$x=\frac{3 \pm \sqrt{37}}{2}$

Thus, the exact solutions of the given equation is $x=\frac{3 \pm \sqrt{37}}{2}$

Hence, Option A is the correct answer.

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3 years ago

Compare adding unlike fractions and adding like fractions

muminat

Answer:

We just add numerators and rewrite denominator.

Adding unlike dominators:

We need to find the same denominators. You need to find the least common multiple (LCM) of the two denominators.

Step-by-step explanation:

You mean unlike denominators and like denominators.

Adding like dominators: We just add numerators and rewrite denominator :

Example : $\frac{1}{4} +\frac{2}{4}=\frac{1+2}{4} =\frac{3}{4}$

Adding unlike dominators:

We need to find the same denominators. You need to find the least common multiple (LCM) of the two denominators.

For example :

$\frac{1}{5}+\frac{3}{4}$

LCM for 5 and 4 is 20 : Now, divide by 5 and multiply by 1 for first fraction. 20 divide by 4 and multiply by 3 :

$\frac{1*4}{20} +\frac{3*5}{20}=\frac{4}{20} +\frac{15}{20}=\frac{19}{20}$

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