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.
There are 5280 feet in a mile
There are 3600 seconds in an hour
to get 40 miles per hour
we multiply 40 by 5280 and divide by 3600
40 * 5280 / 3600
this gets us 58.666666...
but since they want us to round to the nearest whole number, our answer would be 59 feet per second
Answer:
the system has a unique solution
Step-by-step explanation:
Start with an equation of a line in standard form,
Solve it for y to put it into the slope-intercept form:
The slope is -a/b.
Now look at your system of equations. The slope of the first equation is -a/b = -2/3. The slope of the second equation is -a/b = -6/5.
You have a system of two linear equations with two lines with different slopes, so the lines must intersect at a single point.
Answer: the system has a unique solution
Answer:
** +2x
Step-by-step explanation:
All the other ones can be it any thing will have difference but how can you do it?
* -sign mutipulcation
2x+* can be different.
O c, OA is N X+2 and more is not a equation. * - can be times really any number.
Answer:
The answer to your question is (-1, 4) The lines cross in one point so they have only one solution.
Step-by-step explanation:
Data
Equation 1 x - 4y = -17
Equation 2 y = 4x + 8
Solve for y
Equation 1 y = -x/-4 - 17/-4
y = x/4 + 17/4
Equation 2 y = 4x + 8
See the graph below
These lines cross in point (-1, 4), so that is the only one solution.
If the lines were the same line they would have infinite solutions
