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viktelen [127]
2 years ago
15

Find a linear equation with two variables that, together with the

Mathematics
1 answer:
Mila [183]2 years ago
8 0

Answer:

10x+5y=2

Step-by-step explanation: You have the equation 10x+5y=1 and from the problem, we are trying to find an equation that does not produce a solution with 10x+5y=1. To do this know 1 is your y-intercept and if you put 10x+5y=1 into slope-intercept form you'll get y=-2x+1/5. Solve the problem know that you can use any number besides 1 on the right side and have the same slope to fit the question. What I mean is that let's say I have 10x+5y=2, I put it into a slope-intercept form I'll have y=-2x+2/5. The two equations y=-2x+1/5 and y=-2+2/5 will not meet because their slopes are PARALLEL. So in short have a different y-intercept but the same slope to not get a solution. Additional note you could have other y-intercepts such as 3,4,5,6,7,8, or 9 in your standard form equation 10x+5y= to get a equation that does not make a solution with 10x+5y=1.

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8 0
3 years ago
If increasing 50 by x% is equal to the result of decreasing 70 by x%. what is the value of x?
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Increasing 50 by x% can be written as:

50 + \frac{x}{100} =50+0.01x.................(1)

Decreasing 70 by x % can be represented by the expression:

70 + \frac{x}{100} =70-0.01x...........(2)

Now we are given in the question that if we increase 50 by x% and 70 by x%, then the two values are equal.

so equating (1) and (2) , we get

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50  +0.01x +0.01x = 70

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taking 50 to the right side, subtracting it from 70

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Answer x=2000

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