The solution of the system of equations is (6 , -7)
Step-by-step explanation:
There are two method to solve the system of equations
- Elimination method: we make the coefficients of one variable in the two equations have same values and different signs, then we add the two equations to eliminate this variable and have an equation of other variable, we solve it to find the other variable, then substitute the value of this variable in one of the two equations to find the first variable
- Substitution method: We use one of the two equations to find one variable in terms of the other, then substitute it in the second equation to have an equation of the other variable, we solve it to find the other variable, then substitute the value of this variable in the equation of the first variable
Let us use the elimination method with your problem
∵ 3x + 2y = 4 ⇒ (1)
∵ 3x + 6y = -24 ⇒ (2)
- Multiply equation (1) by -1 to eliminate x ⇒ to make the coefficients of x in the two equations have same values and different signs
∵ -3x - 2y = -4 ⇒ (3)
- Add equations (2) and (3)
∴ 4y = -28
- Divide both sides by 4
∴ y = -7
Substitute value of y in equations (1) OR (2) to find x
∵ 3x + 2(-7) = 4
∴ 3x - 14 = 4
- Add 14 for both sides
∴ 3x = 18
- Divide both sides by 3
∴ x = 6
The solution of the system of equations is (6 , -7)
<em>I hope this explanation help you</em>
Learn more:
You can learn more about the system of linear equations in brainly.com/question/6075514
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This a problem of conversion of units. to convert units, you must know at what values are each units equal. for this problem we must convert miles to feet. so 1 mile is equivalent to 5280 ft. so the answer is :
length in feet = 0.6 miles ( 5280 ft / 1 mile)
length in feet = 3168 feet
Answer:
Not a function.
Does not pass vertical line test.
B.
Step-by-step explanation:
Something called a vertical line test is used to determine if a relation that has been graphed is a function or not.
We say if it passes then it is a function.
It will pass if you are able to draw infinitely many vertical lines covering the whole graph and each vertical line either touches your relation once or none.
If a single vertical line that you draw touches more than once, then it isn't a function.
When I say draw, I don't mean you should physically do it, but more so imagine it.
Now this particular relation is not a function because I can find a vertical line that touches more than once. Take the vertical line x=5 for example.
It will touch at (5,-6) and (5,6). You cannot have an x assigned to more than one y.
20 and that should be correct, if you need an explanation just ask
Hi there!
nearest percentage=64%
<em><u>1.Subtract starting value and final value:</u></em>
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<em><u>2.Divide it by the starting value:</u></em>
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<em><u>3.Multiply the term by 100:</u></em>
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<em><u>4.Round the term:</u></em>
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Therefore, the decrease of the total 8 years was 64%.
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