Which order pair is a solution to the system of linear equations -4+y=8 and x-5y=17?
2 answers:
Answer:
(77,12)
Step-by-step explanation:
We need to solve for x and y
USe substitution method, we solve the first equation for y
, add 4 on both sides to get y alone
Now we plug in 12 for y in the second equation and find out x
Add 60 on both sides
The ordered pair is (x,y). our x=77 and y=12
So ordered pair is (77,12)
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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.
