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2 years ago

Solve the system of linear equations by substitution 12x+y=−4 y=2x+16

Mathematics

1 answer:

ki77a [65]2 years ago

8 0

Answer:

Your solution is (-10/7, 92/7)

Step-by-step explanation:

12x + y = -4

y = 2x + 16

To use substitution, we want to plug one variable's equation into the other equation.

We can see that y is already solved for us. Plug y into the first equation.

12x + y = -4

12x + (2x + 16) = -4

Combine like terms.

14x + 16 = -4

Subtract 16 from both sides.

14x = -20

Divide both sides by 14.

x = -20/14

x = -10/7

Now that we know x, we will plug it into one of the other equations.

y = 2x + 16

y = 2(-10/7) + 16

Multiply.

y = -20/7 + 16

Add.

y = -20/7 + 112/7

y = 92/7

Your solution is (-10/7, 92/7)

Hope this helps!

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Solving an Absolute Value Equation

Andre45 [30]

Answer:

Solution set = {-12, 12}

Step-by-step explanation:

Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:

$-\,|-x|=-\,12\\|-x|=12$

Now we consider the two possible cases:

1) The expression inside the absolute value symbol is a positive number, then :

$|-x|=-x\\$

and replacing it in the equation, this becomes:

$|-x|=12\\-x=12\\x=-12$

which is our first answer.

2) The expression inside the absolute value symbol is a negative number, then :

$|-x|=x\\$

and replacing it in the equation, this becomes:

$|-x|=12\\x=12$

which is our second possible answer.

Then the set of solutions is: {-12, 12}

8 0

3 years ago

I don’t understand this at all please help

Deffense [45]

Answer:

You need 10 of those numbers to be whole numbers, decimals, or fractions (THESE ARE RATIONAL)

You need the other 10 of those numbers to radicals, or numbers similar to pi (THESE ARE IRRATIONAL)

Step-by-step explanation:

4 0

3 years ago

Jasmine works at the public library after school. She makes $7.00 per hour. She cannot work more than 15 hours per work. If y=7x

kotykmax [81]

Answer:

Step-by-step explanation:

Jasmine can work from 0 hours to 15 hours

6 0

3 years ago

RSB [31]

Answer:

Step-by-step explanation:

3x² - 3x + 7 = 0

a = 3 ; b = -3 and c = 7

D = b² - 4ac = (-3)² - 4*3*7

D = 9 - 84 = - 75

D = 75i²

√D = √75i² = $\sqrt{5*5*3 * i * i}= 5i\sqrt{3}$

$x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ x=\dfrac{-b-\sqrt{D}}{2a}\\\\ \\x=\dfrac{3+5i\sqrt{3}}{6} ; \ ; x = \dfrac{3-5i\sqrt{3}}{6}\\\\\\x =\dfrac{3}{6}+\dfrac{5i\sqrt{3}}{6} ; \ ; x=\dfrac{3}{6}-\dfrac{5i\sqrt{3}}{6}\\\\\\Solution:\\\\x=\dfrac{1}{2}+\dfrac{5\sqrt{3}}{6}i ; \ ; x=\dfrac{1}{2}-\dfrac{5\sqrt{3}}{6}i$

5 0

2 years ago

What is the value of X

Afina-wow [57]

The answer is d (180-95) 85+60=145 180-145= 35

4 0

3 years ago

Read 2 more answers