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leonid [27]
2 years ago
10

the difference of two numbers is negative ten. seven times the first plus seven times the second is negative fourteen.

Mathematics
1 answer:
Kaylis [27]2 years ago
3 0
X-y=-10
x=-10-y

7x+7y=-14
7(-10-y)+7y=-14
-70-7y+7y=-14
0y=56
y=0

x=-10-y
x=-10-0
x=-10

I’m not 100% sure if this is right, so I hope someone checks this over :)
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5(-3x - 2) - (x - 3) = -4 (4x +5) + 13
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Start off by distributing the numbers into the parentheses:

5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
-15x - 10 - (x - 3) = -16x - 20 + 13

(Note: It's super important to be careful when opening up negative parentheses! -(x-3) is not just - x - 3, it is actually -x + 3 since the negative is distributed in every number!)

-15x - 10 - x + 3 = -16x - 20 + 13
-16x - 7 = -16x - 7
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There is an infinite number of solutions in this equation.

(When you get 0=0 when solving for a variable, that means that said variable will have infinite solutions, that is, any number plugged into the equation will work)
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