What is the difference between the solution of a system of linear inequalities and the solution of a system of linear equations?

1 answer:

8 0

<span>A system of linear inequalities is two or more linear inequalities. The solution of a system of linear inequalities is the region of the plane where each of the individual inequalities is true. To find this, graph the inequalities. The solution to the system is the region where the graphs of all of the inequalities overlap. (The solution to a linear inequality is generally a half-plane. If you have > or < the boundary is a dotted line to indicate that the line itself is not included in the solution set. If you have ≥ or ≤ the boundary is a solid line to indicate that the line is included in the solution set.)</span>

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Read 2 more answers

celeste wants to have her hair cut and permed and also go to lunch. she knows she will need 59$. the perm cost twice as much as

miv72 [106K]

Let's first start off with an equation to represent Celeste's budget:
$h + p + l = 59$
Where:
'h' is the money in dollars that she needs to get her hair cut
'p' is the money in dollars that she needs to get her hair permed
'l' is the money in dollars that she needs for lunch

Now let's simplify this equation using the information that was given:
$l = 5$ *This must be true since it is told that she needs $5 for lunch
$0.5p = h$ *This is because the perm costs twice as much as the hair cut

Our new/updated equation is:
$0.5p + p + 5 = 59$

This is much easier to solve, let's rearrange and solve for 'p':
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Therefore the perm costs $36

I hope this helps! Let me know if you have any further questions.

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