Which is true about the solution to the system of inequalities shown? y < x – 1 y < x – 3 All values that satisfy y < x
– 1 are solutions. All values that satisfy y < x – 3 are solutions. All values that satisfy either y < x – 1 or y < x – 3 are solutions. There are no solutions.
2 answers:
Answer:
Option (2) is correct.
All values that satisfy y < x – 3 are solutions.
Step-by-step explanation:
Given two inequality y < x – 1 and y < x – 3
We have to choose out of given options that is true about the solution to the system of inequalities given.
Step 1: We first plot both the inequality in the graph.(as shown below)
Step 2: Choose a test point to determine which side of the line needs to be shaded.
Step 3: the solution to the system will be the area where the shadings from both the inequality overlap one another.
Thus, All values that satisfy y < x – 3 are solutions.
Thus, Option (2) is correct.
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Answer:
and
Step-by-step explanation:
- To use the substitution method, we should take one of the equations, and obtain an expression for one of the variables from this equation. Let's take the first one: 3x-2y = 11. We obtain an expression for x (it could be for y as well): 3x = 11 + 2 y ⇒
.
- Now, we should replace the expression obtain for x in the first equation, on the second equation, as follow
⇒
- Then rearranging terms
- This expression results in
- Finally, using the firs equation, in which we obtained an expression from x,
, we replace y=1/2 and get
, then
Answer:The solution is in the attached file below
Step-by-step explanation:
