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sergiy2304 [10]
2 years ago
5

How many solutions does the following system of equations have?

Mathematics
1 answer:
musickatia [10]2 years ago
5 0

Answer:

There is one solution.

You use substitution;

2(3x+2)=5x+4

6x+4=5x+4

x+4=4

x=0

y=2

To verify your answer, pug in x and y into both equations.

Step-by-step explanation:

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The sum of the digits of a two-digit number is 5. If the number is multiplied by 3, the result is 42. Write and solve a system o
Elenna [48]
A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit

"The sum of the digits is 5"
x + y = 5

The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]

The number is: 10x + y
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The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42

Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out

-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1

then plug x = 1 into either equation to find y

1 + y = 5
y = 4

remember the x and y represent digits so the number xy is 14
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3 years ago
The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.
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2 years ago
Need help on 6 and 7 asap! Will mark brainliest!!
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Step-by-step explanation:

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I don't think that anybody in Elementary School would Understand this you might want to post this question in the High School section.

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