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3 years ago

Identify the type of solution for the following system of equations. y = 3x + 8

Mathematics

2 answers:

Nat2105 [25]3 years ago

8 0

Answer:

No solution

Step-by-step explanation:

Given the 2 equations

y = 3x + 8 → (1)

y = - 7 + 3x → (2)

Substitute y = 3x + 8 into (2)

3x + 8 = - 7 + 3x ( subtract 8 from both sides )

3x = - 15 + 3x ( subtract 3x from both sides )

0 = - 15 ← not possible

This indicates the system has no solution

andriy [413]3 years ago

6 0

Answer: No solution

Step 1: Choose which method you would like to use to solve

Though we can solve using either substitution or elimination, we will use substitution for this one

Step 2: Substitute y for y

-7+3x=3x+8

Step 3: Subtract 3x on both sides

-7+3x=3x+8
-3x=-3x
_________
-7=8

Though we would usually use the x value to solve for y, in this case the x values canceled each other out. We are now left with 2 numbers set equal to each other, and this equation is false. Since -7 does not equal 8, the system of equation have no solution.

Hope this helps comment below for more questions :)

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Need help with this question it’s my first time on here !

fredd [130]

Answer:

We conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.

Hence, option C is correct.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

where 'k' is termed as the 'constant of variation'.

Given that a wedding reception seats 8 people at each table.

Given that the relationship between the number of people 'p' and the number of tables 't'.

p = 8t

CHECKING OPTION A

substitute t = 22 in the given equation

p = 8 × 22 = 176 people

It means to host 176 people, 22 tables will be needed.

Hence, OPTION A is INCORRECT!

CHECKING OPTION B

substitute t = 8 in the given equation

p = 8 × 8 = 64 people

It means to host 64 people, 8 tables will be needed.

Hence, OPTION B is INCORRECT!

CHECKING OPTION C

substitute t = 13 in the given equation

p = 8 × 13 = 104 people

It means to host 104 people, 13 tables will be needed.

Hence, OPTION C is CORRECT!

CHECKING OPTION D

substitute t = 6 in the given equation

p = 8 × 6 = 48 people

It means to host 48 people, 6 tables will be needed.

Hence, OPTION C is INCORRECT!

Thus, we conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.

Hence, option C is correct.

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3 years ago

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Aleksandr-060686 [28]

Answer:

0.75, 0.675, 0.475, 0.253, -0.123

Step-by-step explanation:

Positive Numbers will always be greater than negative numbers, so you know -0.123 comes at the end.

Example

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The tenth's place (A in the number above) holds the most weight. 0The hundreth's place (B in the number above) holds the second most weight. The thousandth's place (C in the number above) holds the third most weight.

Comparing 0.75 and 0.675 is the same as comparing 75 and 67.5. When in doubt, you can multiply the decimals by 100 to determine their order of value.

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2 years ago

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aleksley [76]

Answer:

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Step-by-step explanation:

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4 years ago

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sdas [7]

Answer:

$a_n=-8+(n-1)-7$

Step-by-step explanation:

General arithmetic sequence formula: $a_n=a_1+(n-1)d$

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The first term is -8

And the common difference appears to be - 7 as 7 is subtracted to get to the next term. Ex. -8 - 7 = -15, -15 - 7 = - 22 and so on.

To get the explicit formula of the sequence we simply plug in the values of a1 and d the general arithmetic sequence formula

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olasank [31]

Answer:

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Step-by-step explanation:

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