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noname [10]
2 years ago
15

Find the product xy if2^(x)+3^(y)=5,2^(x+2)+3^(y+1)=18

Mathematics
1 answer:
Marina86 [1]2 years ago
5 0

The solution to the system of equation is (0, 1)

<h3>System of equations</h3>

Given the following system of equation as shown below

2^(x)+3^(y)=5,

2^(x+2)+3^(y+1)=18

Rewrite

2^(x)+3^(y)=5,

2^x*2^2 + 3^y*3^1 = 18

___________

2^(x)+3^(y)=5,

4(2^x) + + 3(3^y) = 18

Let a = 2^x and b = 3^y

Substitute

a + b = 5

4a + 3b = 18

a = 5 - b

Substitute

4(5-b) + 3b = 18

20 - 4b + 3b = 18

-b = -2

b = 2

since a = 5 - b

a = 5 - 2

a = 3

Recall that a = 2^x and b = 3^y

2^x = 2

x = 0

Similarly

3^y = 3

y =1

Hence the solution to the system of equation is (0, 1)

Learn more on system of equation here: brainly.com/question/25976025

#SPJ1

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Svetllana [295]

Answer:

x= 2

y=4

Just subtract by like numbers.

7 0
3 years ago
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Use the given equation to determine if the points in the brackets are on the graph
dmitriy555 [2]

The points in the brackets are on the graph are (0, 2) and (6, 10)

<h3>How to determine if the points in the brackets are on the graph?</h3>

The equation of the line is given as

4x - 3y = -6

The points are given as:

{(0,2),(1,3),(4,7),(6,10)}

Rewrite as

(x, y) = {(0,2),(1,3),(4,7),(6,10)}

Next, we substitute the x and y values in the equation 4x - 3y = -6

So, we have

(0, 2):

4(0) - 3(2) = -6

-6 = -6 ---- true

(1, 3):

4(1) - 3(3) = -6

-5 = -6 ---- false

(4, 7):

4(4) - 3(7) = -6

-5 = -6 ---- false

(6, 10):

4(6) - 3(10) = -6

-6 = -6 ---- true

Hence, the points in the brackets are on the graph are (0, 2) and (6, 10)

Read more about linear equations at:

brainly.com/question/2226590

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3 0
1 year ago
Clare Made Some Lemonade By Mixing 6 cups of water with 8 tablespoons of lemonade powder
kvasek [131]
That is going to be 48 for the first question because 6x8 equals 48
4 0
3 years ago
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What is the mixed number for 51/9
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5 2/3 is the answer to your question
6 0
3 years ago
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The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the United States from birth to
Mariana [72]

Answer:

The answer to your question is The cost to raise a child from birth to 17 years in a household is $194119.

Step-by-step explanation:

Equation

                      y = 1.55x + 110,419

Annual income = $54,000

To solve this problem just substitute the annual income and simplify to find the cost.

                    y = 1.55(54,000) + 110419

Simplify

                    y = 83700 + 110419

Result

                    y = $194119

3 0
3 years ago
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