Graph the region of solution of the given linear inequality x>7
1 answer:
Answer:
The graph of given inequality is shown below.
Step-by-step explanation:
The given linear inequality is
We need to graph the region of solution of the given linear inequality.
The related equation of given linear inequality is
We know that x=a is a vertical line which passes through the point (a,0).
Here, a =7. So x=7 is a vertical line which passes through the point (7,0).
Relate line is a dotted line because the sign of inequality is >. It means the points on the line are not included in the solution set.
Shaded region is right side of the related line because the solution set contains all possible values of x which are greater than 7.
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Answer:
The solution of the system can be given as (5,-8).
Step-by-step explanation:
Given system of equations:
To solve the given system of equations:
Solution:
We will use substitution to solve the given system.
We will substitute the values in terms of
from the equation
into the other equation to solve for
Substituting into
.
We have:
<em>Using distribution.</em>
<em>Combining like terms.</em>
Adding 6 both sides.
Dividing both sides by 3.
∴
<em>Plugging in into
.</em>
We have,
∴
The solution of the system can be given as (5,-8).