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3 years ago

2x + 5 = 8x - 13 Solve the equation. Do not use decimals in your awnser

Mathematics

2 answers:

Genrish500 [490]3 years ago

8 0

Answer:

x = 6

Step-by-step explanation:

2x + 5 = 8x - 13 place like terms in the same side of the equation

5 + 13 = 8x - 2x add like terms

18 = 6x

6 = x

ycow [4]3 years ago

4 0

X = 3 ! you would just use inverse operations and single out x

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At a sporting event, the price for 3 cheeseburgers and 2 cups of lemonade is $14 and the price for 2 cheeseburgers and 4 cups of

crimeas [40]

C= the price of a cheeseburger and l = the price of a lemonade:

$3c + 2l=14\\2c+4l=12$

Divide the second equation by -2 to begin the process of solving by elimination:

$3c + 2l=14\\-1/2\ (2c+4l=12)\\\\3c+2l=14\\-c-2l=-6\\\\2c=8\\c=4$

Now that we have c, 4, we can plug it in to one of the equations to find l:

$3c + 2l=14\\3(4)+2l=14\\12+2l=14\\2l=2\\l=1$

So, each cheeseburger is $4 and each lemonade is $1. The final answer is:

1 cheeseburger and 2 cups of lemonade would cost $6.

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attashe74 [19]

Answer:

18 by 12 is 216

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Lelechka [254]

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Step-by-step explanation:

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Solve the system of equations: X+y+z=5 -3x-4y+4z=15 2x-y-4z=-8

atroni [7]

Answer:

(x, y, z) = (3, -2, 4)

Step-by-step explanation:

The attachment shows a solution using a graphing calculator where the first equation is solved for z, and that expression is substituted into each of the other two equations. The solution to that system is (x, y) = (3, -2). Using these values in the expression for z, we find ...

z = 5 -(3 +(-2)) = 4

The solution is (x, y, z) = (3, -2, 4).

Your graphing calculator and/or online tools can give you the reduced row echelon form of the augmented matrix representing the system:

$\left[\begin{array}{ccc|c}1&1&1&5\\-3&-4&4&15\\2&-1&-4&-8\end{array}\right]$

If you're solving by hand, you can do the substitution described above to eliminate z from one equation. You can eliminate z from another equation by adding the last two:

-3x -4y +4(5 -x -y) = 15 ⇒ -7x -8y = -5

(-3x -4y +4z) +(2x -y -4z) = (15) +(-8) ⇒ -x -5y = 7

This pair of equations can be solved for x and y in any of the usual ways. Using the second equation to substitute for x, for example, gives you ...

-7(-5y -7) -8y = -5 ⇒ 27y = -54 ⇒ y = -2

x = -5(-2) -7 = 3

z = 5 -(3) -(-2) = 4

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Additional comment

If all that is needed is a solution, we prefer a graphical or matrix approach. These take about the same amount of time. Both require a little additional effort to determine exact values when the solutions are not integers.