Answer: The graph is shown below
The solution to the system is (x,y) = (2,3)
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Explanation:
To graph 
, we need two points. Generating any (x,y) point involves picking a random x value to find its paired y value. For instance, if you plugged in x = 0, you should get to y = -2 which is the y intercept. Then trying something like x = 2 will lead to y = 3. This line goes through (0,-2) and (2,3). This line is shown in red below.
The blue line is horizontal and goes through 3 on the y axis. Every point on this horizontal line has the same y coordinate of 3. The x value doesn't matter, so it's not part of the equation y = 3.
The intersection of the red and blue line is the solution to the system. That intersection occurs at (x,y) = (2,3). This means x = 2 and y = 3 pair up together to make both original equations true.
Since this system has at least one solution, we consider it a consistent system.
Answer:
1536 gallons . month
Step-by-step explanation:
Answer:
SD = 2x
UD = x
Step-by-step explanation:
The hypotenuse of a 30-60-90 triangle is 2 times the length of the shorter leg.
SU is the shorter leg = x
So, SD = 2x
The longer leg of a 30-60-90 triangle is times the shorter leg.
So, UD = x
every rational number can be written as a fraction
So you do
distribute
a(b+c)=ab+ac
9(x+5)=9x+9 times 5=9x+45
7(x-3)=7x+7 times -3=7x-21
so now we have
9x+45+7x-21
group like terms
9x+7x+45-21
add
16x+24
simplified is 16x+24
