Answer:
Ordered pair states that it contains the coordinates of one point in the coordinate system, and a point is named by its ordered pair of the form of (x, y).
Given the equation: [tex]2x +3y =12[/tex] .....[1]
by definition of ordered pairs,
for x =9, then find the value of y;
Substitute the value of x =9 in [1] we get;
[tex]2(9)+3y =12[/tex]
18 + 3y =12
Subtract 18 from both sides we get;
18 +3y -18 =12-18
Simplify:
3y = -6
Divide by -3 on both sides we get;
y = -2
Similarly,
If y= 4 then find x;
Substitute the value of y=4 in [1] we get;
2x + 3(4) =12
2x + 12 =12
Subtract 12 from both sides we get;
2x + 12-12 =12 -12
Simplify:
2x = 0
Divide both sides by 2 we get;
x = 0
Therefore, the two solutions for the equation 2x+3y =12 are (9, -2) and (0, 4)
