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Anarel [89]
3 years ago
12

What is the solution of this system of linear equations? 3y = x + 6 y – x = 3 (3, 6) (2, 1) no solution infinite number of solut

ions

Mathematics
2 answers:
RoseWind [281]3 years ago
5 0
Here's the answer. I hope I have understood you right :)

BARSIC [14]3 years ago
5 0

Answer:

As you have written the equations, the solution is (-1.5, 1.5).

Step-by-step explanation:

As written, the system of equations is

\left \{ {{3y=x+6} \atop {y-x=3}} \right.

To solve this, we will use substitution.  First we will isolate y in the second equation:

y-x = 3

Add x to each side:

y-x+x = 3+x

y = 3+x

Now we will substitute this into the first equation

3y = x+6

3(3+x) = x+6

Using the distributive property,

3(3)+3(x) = x+6

9+3x = x+6

Subtract x from each side:

9+3x-x = x+6-x

9+2x = 6

Subtract 9 from each side:

9+2x-9 = 6-9

2x = -3

Divide both sides by 2:

2x/2 = -3/2

x = -1.5

Substitute this into the second equation:

y-(-1.5) = 3

y+1.5 = 3

Subtract 1.5 from each side:

y+1.5-1.5 = 3-1.5

y = 1.5

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Answer:

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3 years ago
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2 years ago
Solve log base 6 (x-6) - log base 6 (x + 4) = 2
Ray Of Light [21]

Answer:

no solutions

Step-by-step explanation:

Since the two terms have the same base, we are able to use the rule for subtracting logarithms:

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Therefore, the equation can be written as:

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By using the definition of a logarithm we can say that:

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When plugging this solution in, you find that the term log_{6}(x-6) has x-6 evaluate to a number less than 0. This is not included in the domain of log functions, so -\frac{30}{7} is not a valid solution. This means that there are no solutions.

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2 years ago
Ms.Sack owns a grocerystore. She buys 272 pounds of potatoes for $99. She wants to sell them for twice as much. She makes 9 bags
mars1129 [50]
99*2=$198
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3 years ago
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