The ordered pair that satisfies the system of simultaneous equations is;
Option C; (2, -2)
We are given two simultaneous equations;
2x - y = 6 ---(eq 1)
x + 2y = -2 ---(eq 2)
- To solve this system of simultaneous equation, we will make use of substitution method.
from eq (1), let us make y the subject of the formula to get;
y = 2x - 6 ---(eq 3)
- Let us put 2x - 6 for y in eq 2 to get;
x + 2(2x - 6) = -2
using distributive property let's expand the bracket to get;
x + 4x - 12 = -2
5x - 12 = -2
Using addition property of equality, add 12 to both sides to obtain;
5x = 10
Using division property of equality, divide both sides by 5 to get;
x = 2
Put 2 for x in eq 3 to obtain;
y = 2(2) - 6
y = 4 - 6
y = -2
Therefore, the solution of the equation is; (2, -2)
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