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valina [46]
3 years ago
10

50 POINTS! Arrange the steps to solve this problem. 9 steps. 50 POINTS!

Mathematics
2 answers:
Ivahew [28]3 years ago
6 0

\left\{\begin{array}{ccc}x+y=-2\\2x-3y=-9\end{array}\right\\\\\text{multiply the first equation by 3}\\3(x+y)=3(-2)\qquad|\text{use distributive property}\\3x+3y=-6\\\\\underline{+\left\{\begin{array}{ccc}3x+3y=-6\\2x-3y=-9\end{array}\right}\qquad\text{add 3x+3y=-6 to 2x-3y=-9, and solve for x}\\.\qquad5x=-15\qquad|:5\\.\qquad x=-3\\\\\text{Substitute the value of x in the first equation (x+y=-2)}\\\\-3+y=-2\qquad|+3\\y=1\\\\\text{The solution for the system of equations is (-3, 1)}

Anon25 [30]3 years ago
5 0

Answer:

4 1 3 2

Step-by-step explanation:

You might be interested in
Choose the pair of numbers that is not a solution to the given equation.
balandron [24]

Answer:

The pair (0,3) is not a solution to the equation

Step-by-step explanation:

This can be proved by simply replacing the x and y variables in the equation by the x and y values of the pair, and checking if the equation renders a true statement:

By replacing x and y with their values in the pair (0,3), that is x=0 and y=3, in the equation y = 5 - 2x  we get:

3 = 5 - 2 (0)

3 = 5 - 0

3 = 5

which is NOT a true statement.

On the other hand, the other two pairs (2,1) and (1,3) render true statements:

1 = 5 - 2 (2)

1 = 5 - 4

1 = 1

and

3 = 5 - 2 (1)

3 = 5 - 2

3 = 3

3 0
3 years ago
7/12% of a quantity is equal to what fraction of the quantity?
serg [7]

Answer:

12 = 22 × 3

Step-by-step explanation:

7 0
4 years ago
What fraction is 4mm of 10cm
Sever21 [200]
Answer is going to be: 4/100
8 0
2 years ago
There are 20,000 members of a zoo. The percent of
schepotkina [342]

1500 members have a contributor  membership.

64.8% of the noncontributory  memberships are individual memberships.

<u>Step-by-step explanation:</u>

There are 20,000 members of a zoo.

⇒ Total members = 20,000

From the graph shown,

7.5% of the members have a contributor  membership.

<u>To find the number of members who have contributor  membership :</u>

⇒ 7.5% of 20,000

⇒ (7.5/100) × 20,000

⇒ 7.5 × 200

⇒ 1500 members.

Therefore, 1500 members have a contributor  membership.

<u>To find the percentage of the noncontributory  memberships are individual memberships :</u>

The percentage of noncontributory  memberships = 100% - 7.5% ⇒ 92.5%

The percentage of individual memberships = 60%

∴ What percentage of the noncontributory  memberships are individual memberships ⇒ (60 / 92.5) × 100 = 64.8%

3 0
3 years ago
The slope of the line is -3. Use the coordinates of the labeled point to find the point-slope equation of the line.
nekit [7.7K]
m =  \dfrac{Y_2 - Y_1}{X_2-X_1}

-3 =  \dfrac{y + 7}{x - 5}

y + 7= -3(x - 5)

Answer A

8 0
3 years ago
Read 2 more answers
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