Answer:
x ≥ -3
x ≤ 3
Step-by-step explanation:
For the first inequality, just add 3 to both sides.
For the second inequality, add 4 to both sides then divide both sides by 3.
Go on the top right corner w the 3 dots
Answer:
B. 5x - 4y = 12
Step-by-step explanation:
Let's convert this to slope-intercept form to interpret the equation easier.
5x - 4y = 12
Subtract 5x from both sides.
-4y = -5x + 12
Divide both sides by -4.
y = 5/4x - 3
Based on this, we know the slope is 5/4 and the y-intercept is (0, -3). When you count the rise over run in the picture and look at the y-intercept, they match.
You solve the substitution method to solve a system of equality by expressing one variable in terms of the other using one equation, and then plugging this expression in the other(s).
In this case, the first equation gives us a way to express n in terms of m. So, we can replace every occurrence of n in the second equation with the given formula.
The result is

So, the second equation turned to be an equality, i.e. an equation where both sides are the same.
This implies that the system has infinitely many solutions, because every couple
such that
is a solution to the system, because it satisfies both equations: the first is trivially satisfied, whereas the second is an identity, and as such is satisfied by any value of the variable.