Question
-x+2y=0 3x+2y=8 Solve
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Answer to a math question -x+2y=0 3x+2y=8 Solve
Gerhard
4.589 Answers
1. Let's solve the system of equations:
The given equations are:
-x + 2y = 0 \quad ...(1)
3x + 2y = 8 \quad ...(2)
2. First, solve equation (1) for \( x \):
-x + 2y = 0
Rearranging, we have:
x = 2y
3. Substitute \( x = 2y \) into equation (2):
3(2y) + 2y = 8
Simplify:
6y + 2y = 8
8y = 8
y = 1
4. Substitute \( y = 1 \) back into \( x = 2y \):
x = 2(1)
x = 2
5. Therefore, the solution to the system is:
x = 2, \quad y = 1
The given equations are:
2. First, solve equation (1) for \( x \):
Rearranging, we have:
3. Substitute \( x = 2y \) into equation (2):
Simplify:
4. Substitute \( y = 1 \) back into \( x = 2y \):
5. Therefore, the solution to the system is:
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