Answer:
Step-by-step explanation:
Given expression:
Separate the variables:
Simplify:
Answer:
(6, -9)
Step-by-step explanation:
Our system of linear equations is:
6x + 2y = 18
-4x - 2y = -6
When we solve by elimination, we're essentially "eliminating" a variable so that we can solve for other more easily. Here, let's eliminate the y variable by adding the two equations together:
6x + 2y = 18
+ -4x - 2y = -6
____________
2x + 0y = 12
x = 12/2 = 6
Plug this back into one of the original equations to find y:
-4x - 2y = -6
-4 * 6 - 2y = -6
-24 - 2y = -6
-2y = 18
y = -9
The solution is (6, -9).
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
3² = 3 X 3 = 9
4³ = 4 x 4 x 4 = 64
= 2 x 2 x 2 x 2 x 2 x 2 = 64
The exact value in fractions are:
a) 1/9
b) 1/64
c) 1/64
<h3>What is a fraction?</h3>
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
= 1/3²
3² = 3 X 3 = 9
= 1/9
= 1/4³
4³ = 4 x 4 x 4 = 64
= 1/64
= 1/
= 2 x 2 x 2 x 2 x 2 x 2 = 64
= 1/64
Thus.,
The exact value in fractions are:
a) 1/9
b) 1/64
c) 1/64
Learn more about fractions here:
brainly.com/question/24370499
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Given that y varies directly with x in the above table, if the value of x is 5, the value of y is 15.
<h3>How to calculate direct variation?</h3>
According to this question, a 2-column table with 5 rows is given.
- Column 1 is labeled x with entries 1, 3, 6, 9, 12
- Column 2 is labeled y with entries 3, 9, 18, 27, 36
If y varies directly with x, the mathematical representation is as follows:
y = kx
Since y = 3, when x = 1
3 = k × 1
k = 3
The relationship between x and y is as follows: y = 3x
Therefore, if the value of x is 5, the value of y = 3 × 5 = 15.
Learn more about direct variation at: brainly.com/question/14254277
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