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gulaghasi [49]
3 years ago
10

Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state thi

s.
15x + 9y = 240
6x + 3y = 90 ...?
Mathematics
1 answer:
vladimir2022 [97]3 years ago
6 0
The answer is x = 10, y = 10.

Step 1: rearrange the second equation for y.
Step 2: substitute y from the second equation into the first equation.
Step 3. Calculate y.

Step 1.
<span>The second equation is: 6x + 3y = 90
Divide both sides of the equation by 3:
(6x + 3y)/3 = 90/3
6x/3 + 3y/3 = 30
2x + y = 30
Rearrange the equation:
y = 30 - 2x

Step 2.
</span>Substitute y from the second equation (y = 30 - 2x) into the first equation:
<span>15x + 9y = 240
15x + 9(30 - 2x) = 240
15x + 270 - 18x = 240
15x - 18x = 240 - 270
-3x = -30
x = -30/-3
x = 10

Step 3.
Since </span>y = 30 - 2x and x = 10, then:
y = 30 - 2 * 10
y = 30 - 20
y = 10
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Which interval for the graphed function contains the local
Greeley [361]

Answer:

2-[1, 2]

Step-by-step explanation:

From the graph, we can conclude the following things:

1. The graph is of degree 4 as it intersects the x axis at 4 points.

2. The graph tends to infinity for increasing the value of 'x' along positive or negative x-axis.

3. The graph has 3 turning points between the intervals [-1, 0], [1, 2] and [2, 3]

4. Local maximum: The top of mountain of the graph represents local maximum. So, during the interval [1, 2], there is a local maximum.

5. Local minimum: The lowest point or the valley of the graph represents local minimum.

So, during the intervals [-1, 0] and [2, 3], there are local minimums.

Thus, there is only one local maximum during the interval [1, 2].

4 0
3 years ago
Read 2 more answers
Can someone help me Plz
Dominik [7]

Answer:

A

Step-by-step explanation:

Please give brainliest

7 0
3 years ago
Seiji and Gavin both worked hard over the summer. Together, they earned a total of $425. Gavin earned $25 more than Seiji. How m
schepotkina [342]
S + g = 425
g = s + 25
-----------------
We will use the method of substitution:
s + s + 25 = 425
2 s = 425 - 25
2 s = 400
s = 400 : 2
s = $425
g = 200 + 25
g = $225
Answer: Seiji earned $200 and Gavin earned $225.
5 0
3 years ago
Are these answers correct? also is there any work to be shown?
vekshin1
Yes, your answer are correct! There is a little work to be shown on number 1, but it isn't necessary.

Hope this helps! Brainliest it if it does!
7 0
3 years ago
The sum of two numbers is -17 and their difference is 41 what are the two numbers?
liberstina [14]

Answer: the two numbers are 7 and -27

Step-by-step explanation:

Let the two numbers be a and b

From the question,

a + b = -27.......eqn 1

a - b = 41............eqn 2

Sum the two equations

2a = 14

Divide both sides by 2

a = 14/2; a = 7

Substitute a = 7 into equation 2

a - b = 41

7 - b = 41

Make b the subject of the equation

-b = 41 -7

-b = 34

b = -34

Check:

a + b = -27, slot the values of a and b

7 + (-34) = -27

7- 34 = -27

I hope this is clear, please mark as brainliest answer

7 0
3 years ago
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