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Kazeer [188]
3 years ago
6

Solve this system of equations using elimination with multiplication

Mathematics
1 answer:
romanna [79]3 years ago
5 0

Answer:

Step-by-step explanation:

3x - 4y = -11

x - 2y = -5

Compare the coefficients of the variables.

The coefficients of the x terms, 3 and 1, are multiples of each other.

The coefficients of the y terms, -4 and -2, are also multiples of each other.

That makes it easy to eliminate either variable.

I'll eliminate the y variables. Multiply the second equation by -2, then add it to the first equation:

₋-2x + 4y = 10

 3x - 4y = -11

--------------------

 x + 0y = -1 ,  so x = -1.

Substitute -1 for x in either equation and solve for y:

3(-1) - 4y = -11

y = 2

(x,y) = (-1, 2)

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Answer:

Step-by-step explanation:

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D + 75 =  180 {Linear pair}

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A = 75

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E = 75

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Step-by-step explanation:

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3 years ago
In Lucille’s class, 35% of the students have blond hair. There are 20 students in the class. How many students have blond hair.
MrRissso [65]

Answer:

7 the answer is 7

Step-by-step explanation:

1. We assume, that the number 20 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 20 is 100%, so we can write it down as 20=100%.

4. We know, that x is 35% of the output value, so we can write it down as x=35%.

5. Now we have two simple equations:

1) 20=100%

2) x=35%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

20/x=100%/35%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 35% of 20

20/x=100/35

(20/x)*x=(100/35)*x       -

20=2.85714285714*x       -

20/2.85714285714=x

7=x

x=7

now we have:

35% of 20=7

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4 years ago
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Answer:

Step-by-step explanation:

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Where:

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So C is the number that is inside the parenthesis, without an X. In this case:

C=1.093

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