Smaller number = X
Larger number = Y
Equation 1: X +Y = 0
Equation 2: (-2 * X) + (2*Y) = 3
Solve for Y in Equation 2:
(-2 * X) + (2*Y) = 3
Add 2X to each side:
2 *y = 2*X +3
Divide each term by 2:
y = X +3/2
Replace Y in Equation 1 with the above solution for y:
X + (X +3/2) = 0
Simplify:
2X +3/2 = 0
Subtract 3/2 from each side"
2X = - 3/2
Divide both sides by 2:
X = -3/2 / 2
X = -3/4
Now replace X in the fist equation to solve for Y:
-3/4 + Y = 0
y = 3/4
The two numbers are -3/4 and 3/4
