All categories

2 years ago

Find the solution of the system of equations. 3x+3y= −6 10x+3y= −13

Mathematics

1 answer:

Fittoniya [83]2 years ago

6 0

Answer:

x=−1, y=−1

Step-by-step explanation:

Solve for x in the first equation.

x=−2−y

10x+3y=−13

Replace all occurrences of x with −2−y in each equation.

−20−7y=−13

x=−2−y

Solve for y in the first equation.

y=−1

x=−2−y

Replace all occurrences of y with −1 in each equation.

x=−1, y=−1

You might be interested in

The point (1,-1) is on the terminal side of angle theta in standard position what are the values of sine cuisine and tangent of

pickupchik [31]

$\bf \textit{terminal point }\implies 
\begin{array}{lclcll}
(&1&,&-1)\\
&\uparrow &&\uparrow \\
&x&&y
\end{array}
\\\\\\
sin(\theta)=\cfrac{y}{r}
\qquad 
% cosine
cos(\theta)=\cfrac{x}{r}
\qquad 
% tangent
tan(\theta)=\cfrac{y}{x}\\\\
-----------------------------\\\\
\textit{so, what's the radius "r"?}\implies r^2=x^2+y^2\implies r=\sqrt{x^2+y^2}$

3 0

2 years ago

Not enough INFO sas sss

shepuryov [24]

$\huge \bf༆ Answer ༄$

The given triangles are similar by ~

$\textsf{SSS criteria }$

8 0

2 years ago

Which table represents a direct variation function?

sineoko [7]

Answer:

Option C is correct.

Step-by-step explanation:

A direct variation function is

y/x = k

i.e. we can say that the ratio of y and x is equal to a constant value k.

We will check for each Option given.

Option A

7/2 = 7/2

8/3 = 8/3

9/4 = 9/4

10/5 = 2

11/6 = 11/6

Option D is incorrect as y/x ≠ k as ratio of y/x for each value of table doesn't equal to constant

Option B

-3/2 = -3/2

-5/4 = -5/4

-6/6 = -1

-7/8 = -7/8

-8/10 = -4/5

Option B is incorrect as y/x ≠ k as ratio of y/x for each value of table doesn't equal to constant

Option C

10/-5 = -2

8/-4 = -2

6/-3 = -2

4/-2 = -2

2/-1 = -2

Option C is correct as y/x = k as ratio of y/x for each value in table c is equal to constant value -2

Option D

-3/-2 = 3/2

-3/1 = -3

-3/0 = 0

-3/1 = -3

-3/2 = -3/2

Option D is incorrect as y/x ≠ k as ratio of y/x for each value of table doesn't equal to constant .

SO, Option C is correct.

8 0

3 years ago

Read 2 more answers

PLEASE HELP!<br> What is m<3???

Ganezh [65]

Answer:

105°

Step-by-step explanation:

180 minus 75 from angle 6 would give you angle 3.

6 0

3 years ago

If a company has 5 employees with annual salaries of 30000 50000 30000 80000 and 70000 respectively what is the mean annual sala

Marina86 [1]

The answer is 52,000.

You have to add all of the values and divide them by the number of values. In this case you would do 30,000 + 50,000 + 30,000 + 80,000 + 70,000 which equals 260,000 then you would divide that number by 5 since there are 5 values.

5 0

3 years ago