Question 63334: can you please solve me this equations? thank you
1. Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
x + 2y = 5
3x + 4y = 1
2. Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
5x – 4y = 1
-10x + 8y = -3
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 1. Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
x + 2y = 5
3x + 4y = 1
:
Mult the 1st equation by -2 and add to the 2nd equation, eliminating y
-2x - 4y = -10
3x + 4y = 1
----------------add
+x + 0 = -9
x = -9
:
Find y; substitute -9 for x in the 1st equation:
-9 + 2y = 5
2y = 5 + 9
2y = 14
y = 14/2
y = +7
:
Check solutions in 2nd equation:
3(-9) + 4(7) = 1
-27 + 28 = +1
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2. Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is “no solution” or “infinitely many solutions.”
5x – 4y = 1
-10x + 8y = -3
:
Mult the 1st equation by 2 and add to the 2nd equation:
+10x - 8y = 2
-10x + 8y = -3
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0x + 0y = -1 means no solution, the lines are parallel, same slope
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