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Genrish500 [490]
3 years ago
11

. When the process of solving a linear inequality results in the variable being eliminated with a false statement remaining, wha

t does this mean about the solution set of the inequality?
Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0

Answer:

No Solution

Step-by-step explanation:

When we solve linear inequalities using any one the methods such as

1) Elimination  or

2) Substitution

And we get  the variable eliminated with a false statement remaining, this means there is no solution.

In other words the solution does not exist or the solution is not possible in the given range or the values given are false.

But when the values are true we get a solution for the variable solved.

In the elimination method we eliminate the same terms by addition or subtraction after making them equal.

And the substitution method requires putting the values of one variable in place of another.

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y = -5x + 24

y = 4x - 21

Since both of these equations are equal to Y, theyre equal to each other.

So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.

-5x + 24 = 4x - 21

Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:

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Now we subtract 4x from both sides so the 4x shift to the other side

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Finally divide both sides by -9 so x is by itself

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Now apply x = 5 to either of the initial equations to find the value of Y

y = -5x + 24 or y = 4x - 21

(I'll do both but u only need one)

y = -5(5) + 24

y = -25 + 24

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y = 4(5) - 21

y = 20 - 21

y = -1

Either way, X is 5 and Y is -1

Answer (5, -1)

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