Solve the simultaneous equation: X+2y=0 and 2x+y=3 Find the value of x and y

Mathematics

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Answer

X=2,y=−1X=2, y=-1

Step-by-step solution

4 steps

Let's solve the simultaneous equations.

The given equations are:

  1. X+2y=0X+2y=0
  2. 2x+y=32x+y=3

  1. Express XX in terms of yy from the first equation.

    From equation (1):

    X=−2yX = -2y

  2. Substitute this expression for XX into the second equation.

    Substitute X=−2yX = -2y into equation (2):

    2(−2y)+y=32(-2y) + y = 3 −4y+y=3-4y + y = 3 −3y=3-3y = 3

  3. Solve for yy.

    y=3−3y = \frac{3}{-3} y=−1y = -1

  4. Substitute the value of yy back into the expression for XX from Step 1.

    X=−2(−1)X = -2(-1) X=2X = 2

    The values are X=2X=2 and y=−1y=-1.

    X=2,y=−1X=2, y=-1
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