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Solve the system of equations
2X plus 8Y equals eight
2X minus 4Y equals -16
2X plus 8Y equals eight
2X minus 4Y equals -16
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Answered by
GPT 3.5
To solve this system of equations, we can use the method of elimination.
1. Multiply the second equation by 2 to eliminate the X term:
4X - 8Y = -32
2. Now, we can add the two equations together to eliminate the X term:
(2X + 8Y) + (4X - 8Y) = 8 + (-32)
6X = -24
3. Divide by 6 to solve for X:
X = -4
4. Substitute X = -4 into the first equation:
2(-4) + 8Y = 8
-8 + 8Y = 8
8Y = 16
Y = 2
Therefore, the solution to the system of equations is X = -4 and Y = 2.
1. Multiply the second equation by 2 to eliminate the X term:
4X - 8Y = -32
2. Now, we can add the two equations together to eliminate the X term:
(2X + 8Y) + (4X - 8Y) = 8 + (-32)
6X = -24
3. Divide by 6 to solve for X:
X = -4
4. Substitute X = -4 into the first equation:
2(-4) + 8Y = 8
-8 + 8Y = 8
8Y = 16
Y = 2
Therefore, the solution to the system of equations is X = -4 and Y = 2.
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