2x - 3y = 14 5x - 3y = -10
1 answer:
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To find the coordinate of A you can first determine the coordinate of D and apply the midpoint rule.
And to find the coordinates of D you must solve equations of AC and BD simultaneously.
AC has equation
Or
BD has equation
Or
Multiply equation (1) by 2 and multiply equation (2) by 3 to obtain,
Equation (3) minus equation (4)
gives
Putting the value of x=4 in equation (4) gives
This implies that
Solving the equations of AC and BD simultaneously give the coordinates of D to be;
Let
be the coordinates.
Since D is the midpoint of AC
and
Solving for m and n, we have
And
Therefore A has coordinates
[tex] (-2,8)/tex]
And to find the coordinates of D you must solve equations of AC and BD simultaneously.
AC has equation
Or
BD has equation
Or
Multiply equation (1) by 2 and multiply equation (2) by 3 to obtain,
Equation (3) minus equation (4)
gives
Putting the value of x=4 in equation (4) gives
This implies that
Solving the equations of AC and BD simultaneously give the coordinates of D to be;
Let
Since D is the midpoint of AC
and
Solving for m and n, we have
And
Therefore A has coordinates
[tex] (-2,8)/tex]