All categories

3 years ago

3x + 3y =15 and x = -3y -1

Mathematics

1 answer:

saul85 [17]3 years ago

4 0

Answer:

(x, y) = (8, -3)

Step-by-step explanation:

You can substitute for x in the first equation:

3(-3y -1) +3y = 15

-6y = 18 . . . . . add 3 and simplify

y = -3 . . . . . . . divide by -6

x = -3(-3) -1 = 8 . . . . find x using the second equation

The solution to this system of equations is (x, y) = (8, -3).

You might be interested in

Help for 15 points . ill up it

RoseWind [281]

Step-by-step explanation:

Let $P_1(-1, -8)\:\text{and}\:P_2(-4, -9)$

The slope of the line through these two points is

$m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{(-9 + 8)}{(-4 + 1)} = \dfrac{1}{3}$

So the slope-intercept form of the line passing through the two points is

$y = mx + b = \frac{1}{3}x + b$

To find b, we use either point into our equation. Let's use (-1, -8):

$-8 = \frac{1}{3}(-1) + b \Rightarrow b = -\dfrac{23}{3}$

Therefore, the slope-intercept form of the equation for the line is

$y = \dfrac{1}{3}x - \dfrac{23}{3}$

The standard form of the equation can be written as

$x + 3y + 23 = 0$

8 0

3 years ago

Select the correct answer.

Lera25 [3.4K]

Answer:

The answer is C

6 0

3 years ago

Read 2 more answers

What is the prime factorization of 155

xenn [34]

The factors<span> of 155 are 1, 5, 31, and 155, thus </span>the prime factorization should be 5 and 31.

5 0

3 years ago

Find the value of x for which pll q.

klasskru [66]

Answer:

D) 9

Step-by-step explanation:

These angles are equal to each other because they’re alternate interior angles so:

9x + 8 = 15x - 46

9x - 15x = -46 - 8

-6x = -54

x = 9

7 0

3 years ago

5 (RootIndex 3 StartRoot x EndRoot) + 9 (RootIndex 3 StartRoot x EndRoot)

Ratling [72]

Answer:

C. 14 RootIndex 3 StartRoot x EndRoot)

Step-by-step explanation:

To obtain the sum ; the a clear explanation has been attached in the picture below ;

8 0

3 years ago