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Nana76 [90]
3 years ago
15

Whats the answer and work for this problem (3)

Mathematics
1 answer:
mamaluj [8]3 years ago
3 0
This is a system of equations. You can solve it by substitution or elimination. I'm going to use substitution x - 2y = -4.5; add 2y to each side x - 2y + 2y = -4.5 + 2y; simplify x = 2y - 4.5 2(2y - 4.5) + 3y = 12 4y - 9 + 3y = 12 7y - 9 = 12 7y - 9 + 9 = 12 + 9 7y = 21 y = 3 <--------first answer x - 2y = -4.5 x - 2(3) = -4.5 x - 6 = -4.5 x -6 + 6 = -4.5 + 6 x = 1.5 <--------second answer Check: 2(1.5) + 3(3) = 12? 3 + 9 = 12? 12 = 12; It checks 1.5 - 2(3) = -4.5? 1.5 - 6 = -4.5? -4.5 = -4.5; It checks x = 1.5 and y = 3 <-----------Final Answer
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How to solve this problem
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So first, you have to get two of the same variables to cancel out. Let's do this for x. In order for the x's to cancel out, we could multiply the bottom problem by 2.
(2) 3x-6y=24
After multiplying all the numbers by 2, you get the equation 6x-12y=48
The set of equations is now
-6x+2y=12
6x-12y=48
Now you can add them. The x variables cancel out, so you are left with the y variable.
2y+-12y=-10y and 12+48=60
Then you would divide 60 by -10 to get y=-6.
You would plug the answer for y into one of the original equations, lets do the top one. -6x+2y=12 becomes -6x+2(-6)=12
You'd multiply the 2 and -6 to get -12 so the equation is
-6x-12=12
The negative 12 turn positive and you add to both sides to get the -6x alone.
-6x-12=12
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Then divide 24 by -6
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7 0
2 years ago
The pentagons JKLMN and PQRST are similar find the length x of TP
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Be more descriptive of the problem
7 0
3 years ago
A store orders 22 boxes of light bulbs. Each box has 148 bulbs.
Schach [20]

Answer:

3,256bulbs

Step-by-step explanation:

From the question, we can see that;

Total number of boxes ordered = 22boxes

If each box contains 148 bulbs, then;

1 box = 148bulbs

To get the total bulbs we have we will say;

22boxes = x bulbs

solve this two expressions for x:

1box = 148bulbs

22boxes = x bulbs

Cross multiply

1×x = 22×148

x = 3256bulbs

Hence the best estimate of the total number of bulbs the store orders is 3,256bulbs

5 0
2 years ago
Read 2 more answers
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