What is the value of the expression (3a-b)/(6(b+a)) when a = 4 and b = -2? Show your work to support your answer.
1 answer:
Answer:
or 1.166 Repeating
Step-by-step explanation:
This is a very simple equation!
First you write it out
Now you plug in your values.
a = 4
b= -2
So.
Now, follow PEMDAS
3 (4) = 12
12 - (-2) is the same as 12+2 Which equals 14
Now you have...
-2 + 4 = 2
6 (2) = 12
Final Fraction is
Which can be reduced to
or
1.166 (repeating)
Hope this helps!
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Answer:
- B) One solution
- The solution is (2, -2)
- The graph is below.
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Explanation:
I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.
Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.
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To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,
y = (-3/2)x+1
y = (-3/2)*0+1
y = 1
The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.
