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r-ruslan [8.4K]
3 years ago
11

The table below shows four systems of equations:

Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0
To determine which system of equations would have the same solution, we evaluate each system of equations.

System 1 4x − 5y = 2, 3x − y = 8
x = 38/11
y = 26/11

<span>System 2 4x − 5y = 2, 3x − 2y = 1
x = 1/7
y = -2/7

System 3 4x − 5y = 2, 3x − 8y = 4
x = -4/17
y = -10/17

System 4 4x − 5y = 2, 10x − 9y = 4
x = 1/7
y = -2/7

</span><span>
Therefore, the correct answer is option 3. </span><span>System 2 and system 4 are equal, because the second equation in system 4 is obtained by adding the first equation in system 2 to two times the second equation in system 2.

     4x− 5y = 2 2( 3x − 2y = 1)
-----------------------    10x - 9y = 4</span>
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Annette [7]

Answer:

x = 4

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Step-by-step explanation:

We can use substitution, elimination, or graphically.

Step 1: Rearrange first equation

2x + 4y = -4

2x = -4 - 4y

x = -2 - 2y

Step 2: Rewrite systems of equations

x = -2 - 2y

3x + 5y = -3

Step 3: Substitution

3(-2 - 2y) + 5y = -3

-6 - 6y + 5y = -3

-6 - y = -3

-y = 3

y = -3

Step 4: Find <em>x</em> using <em>y</em>

2x + 4(-3) = -4

2x - 12 = -4

2x = 8

x = 4

Graphically:

Use a graphing calc and analyze where the 2 lines intersect.

5 0
3 years ago
Construct your own division problem with a two-digit divisor that has a quotient of 6 and a remainder of 12 but is not equivalen
Alexxx [7]
You could do 192 ÷ 30 = 6 Reminder 12, 6.4
5 0
3 years ago
Read 2 more answers
Add the two expressions.<br><br> −2.4n−3 and −7.8n+2
Sphinxa [80]

Answer:

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Step-by-step explanation:

We have two expressions in variable n and we have to add the two expressions.

An important thing to note is that only like terms can be added. i.e. the term with "n" can only be added or subtracted to the term with "n". Similarly a constant can only be added or subtracted to a constant.

(-2.4n-3)+(-7.8n+2)\\=-2.4n-3-7.8n+2\\=-2.4n-7.8n-3+2\\=-10.2n-1

Thus, the two given expressions add up to -10.2n - 1

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3 years ago
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skelet666 [1.2K]

Answer:

the answer would be three because when an exponent is on the inside of the parenthesis and one is outside too, then they are multiplied. If it wasn't, then it would be added.

Step-by-step explanation:

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3 years ago
What is the slope of the line x = −5? a) undefined b) 0 c) -5 d) 5
nlexa [21]
Learn this...it helps
HOY -- horizontal line, 0 slope, represented by y = a number
VUX -- vertical line, undefined slope, represented by x = a number

now u have : x = -5.....this is a vertical line with an undefined slope
7 0
3 years ago
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