Ask question

Ask question

All categories

3 years ago

6

Determine the solution to the system of equations below: y = -3x + 6 and 3y = -2x - 3

1 answer:

TiliK225 [7]3 years ago

4 0

Answer:

x = 3

y = -3

Step-by-step explanation:

We have two equations and are asked to solve for x and y.

y = -3x + 6

3y = -2x - 3

Substitute the y in the first equation in the second equation :

3(-3x + 6) = -2x - 3

Distribute :

-9x + 18 = -2x - 3

Solve for x by isolating it :

Subtract 18 from both sides :

-9x = -2x - 21

Add 2x to both sides :

-7x = -21

Divide -7 from both sides :

x = 3

Replace x in the first equation :

y = -3(3) + 6

y = -9 + 6

-9 + 6

y = -3

You might be interested in

Solve The Triangle (See Picture!!)

joja [24]

Answer:

Step-by-step explanation:

use sin formula

$\frac{a}{sin \alpha } =\frac{b}{sin \beta } =\frac{c}{sin \gamma} \\\frac{10}{sin~40} =\frac{12}{sin ~\beta } \\sin~\beta =\frac{12}{10} \times sin~40\\ \beta=sin^{-1}(1.2 sin ~40)\approx 50.5 ^\circ\\\gamma=180-(40+50.5)=89.5^\circ\\\frac{c}{sin~89.5}=\frac{10}{sin~40} \\c=\frac{sin~89.5}{sin ~40} \times 10 \approx 15.6\\D$

4 0

3 years ago

The hardware store where you work charge 80 cents including tax, for a pound of nails. A customer purchases 5 3/4 pound of nails

Sophie [7]

Answer:

$4.60

Step-by-step explanation:

1 lb ---> 80 cents

5 3/4 lb ---> 5 3/4 * 80 cents

$5 \dfrac{3}{4} \times 80 =$

$= \dfrac{23}{4} \times \dfrac{80}{1}$

$= \dfrac{23 \times 80}{4 \times 1}$

$= \dfrac{1840}{4}$

$= 460$

460 cents = $4.60

5 0

3 years ago

Read 2 more answers

If the cross-section shown has an approximate area of 78.54 cm2, what is the approximate volume of the cylinder if its height is

Elena-2011 [213]

Answer: C) 785.4

Step-by-step explanation:

7 0

4 years ago

Yolanda made $192 for 12 hours of work. At the same rate, how many hours would she have to work to make $272?

denpristay [2]

Answer:

17 hours

take $192 and divide it by 12 so you know how much they make per hour

$192 / 12 = 16

then you're going to take $272 and divide it by what you know now - how much they make per hour (this will get you how many hours they worked)

$272 / 16 = 17

6 0

3 years ago

What is the value of the function at x = −3?

zlopas [31]

Answer:

the answer is D

Step-by-step explanation:

(0, -3) , (1, -3) , (2, -3)

Hope this helps! :)

~Zane

4 0

3 years ago

Read 2 more answers