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masha68 [24]
3 years ago
8

2x+3y = -33 3x+6y=-57 using elimination

Mathematics
1 answer:
ella [17]3 years ago
4 0

\left\{\begin{array}{ccc}2x+3y = -33&\text{multiply both sides by 3}\\3x+6y=-57 &\text{multiply both sides by (-2)}\end{array}\right\\\\\underline{\left\{\begin{array}{ccc}6x+9y=-99\\-6x-12y=114 \end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-3y=15\qquad\text{divide both sides by (-3)}\\.\qquad y=-5\\\\\\\text{Put the value of y to the first equation}\\\\2x+3(-5)=-33\\2x-15=-33\qquad\text{add 15 to both sides}\\2x=-18\qquad\text{divide both sides by 2}\\x=-9

Answer:\ x=-9\ and\ y=-5\to(-9,\ -5)

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Write an inequality for people younger than 8 get in for $45
Tema [17]

Answer:

8 ≤ $45

Step-by-step explanation:

Given:

People younger than 8 get in for $45.

Now we can assume that the cost given might be to enter in the garden or might be in fair or might be at museum or might be at a zoo which is $45 for people which are younger than 8.

Now we can say for people younger than 8 means people or children who are of 8 years or who are below 8 years or say less than 8 years.

Hence we can say people who are less than or equal to 8 get in for $45

So the inequality equation becomes.

8 ≤ $45

6 0
3 years ago
Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of e
worty [1.4K]

Answer:

8 and 6

Step-by-step explanation:

If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.

You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.

The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.

Next, we add 10 to both sides. This gives 8x=64.

From there, we isolate the x by dividing both sides by 8, giving x=8.

To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).

This comes to y=8-2, therefore y=6.

**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!

3 0
3 years ago
How can you find the height of 430 basketball players without adding up all the height
Ahat [919]
The answer is by using the measuring tape
3 0
3 years ago
What the answer question
algol [13]

Answer:

∠WUV

Step-by-step explanation:

Start from the top, the meeting point of the rays is the angle U

5 0
3 years ago
Tell whether the angles are complementary, supplementary, or neither
Vadim26 [7]

Answer:

neither

Step-by-step explanation:

43 + 57 = 100

Complementary angles: sum of measures = 90 deg

Supplementary angles: sum of measures = 180 deg

This question: sum of measures = 100 deg

Answer: neither

7 0
3 years ago
Read 2 more answers
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