Question 37235This question is from textbook
: 2x+4y=10
3x-2y=-9
This question is from textbook
Answer by jcmtnez(53)   (Show Source):
You can put this solution on YOUR website! System.
2x+4y=10
3x-2y=-9
We can easily solve this system by reduction:
2x+4y=10
2(3x-2y)=2(-9) We multiply the second equation by two getting a similar equation.
2x+4y=10
6x-4y=-18 We have the same system, now we only have to sum the corresponding parts.
2x+4y=10
+6x-4y=-18
Result:8x =-8
Solving for x,
8x=-8, x=-1
Substitution of x by its value,
2(-1)+4y=10
-2+4y=10
4y=12
y=3
The solutions to the system are, x=-1 and y=3
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