Solve the System by Graphing:
1 answer:
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.
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Answer:
y = 10x + 100
Step-by-step explanation:
Given the information:
She earns the same amount per hour as she did in her old job $ 100 sign-on bonus
=> the equation for line p in the form y= mx where:
- x is the number of hour she worked
- y the money she earned
=> the equation for line q in the form y= mx + 100 ($ 100 sign-on bonus )
From that, we see that the two equations have the same slope or you can use a transformation to map line p onto line q
We can create two points (0, 0) and (2, 20) are on line p
<=> m =
The equation for line p is y = 10x
=>The equation for line q should include the hourly earnings at the
new job plus the sign-on bonus. The equation is y = 10x + 100
Hope it will find you well.