How will the solution of the system y > 2x + 2/3 and y < 2x + 1/3 change if the inequality sign on both inequalities is re
versed to y < 2x + 2/3 and y > 2x + 1/3.
1 answer:
Answer:Infinite solution
Step-by-step explanation:
For Inequalities
3y-6x>2
and
3y-6x<1
The required Inequalities have no solution because they do not share the common region for a common solution
But if signs of both inequalities is changed then the system has infinite number of solution.
3y-6x<2
and
3y-6x>1
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Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula . Isolate y:
The number in place of , or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.
Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.
2) Now, remember that the slope-intercept form is represented by the formula . In order to write an equation of a line using that formula, we need to substitute values for
and
. We know
is the slope, so we already know what that equals. Now, we just need to find
.
To do that, substitute -2 for in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate
and find its values:
So, = 10.
3) Substitute values for and
into the slope-intercept formula to write the slope-intercept form of the line: