Answer:
Option A is correct.
The only ordered pair which is the solution to the system of equations is ; (3, -3)
Step-by-step explanation:
Given the system of equation:
y = 3x - 12 ......[1]
4x + 6y = -6 ......[2]
Substitute equation [1] in [2] we have;
[tex]4x + 6 (3x - 12) = -6[/tex]
Using distributive property : [tex]a \cdot (b+c) = a \cdot b + a \cdot c[/tex]
4x + 18x - 72 = -6
Combine like terms;
22x - 72 = -6
Add 72 to both sides of an equation; we get
22x - 72 + 72 = -6 + 72
Simplify:
22x = 66
Divide by 22 to both sides we get;
[tex]\frac{22x}{22} = \frac{66}{22}[/tex]
Simplify:
x = 3
Substitute the value of x = 3 in equation [1] to solve for y;
y = 3(3) - 12
y = 9 - 12= -3 or
y = -3
Therefore, the only ordered pair (x, y) the solution of the system of equation is ( 3, - 3).
