Respuesta :
Answer:
Option C is correct
The ordered pair which is the solution of the system of given equations is (3, -9)
Step-by-step explanation:
Given the system of equation:
y =x -12 ......[1]
-5x - 3y =12 ......[2]
Substitute equation [1] in [2] we have;
[tex]-5x-3(x-12)=12[/tex]
Using distributive property : [tex]a \cdot (b+c) =a\cdot b+a\cdot c[/tex]
-5x - 3x+36 = 12
Combine like terms;
-8x +36 = 12
Subtract 36 to both sides of an equation; we get
-8x +36 -36 = 12 -36
Simplify:
-8x = -24
Divide by -8 to both sides we get;
[tex]\frac{-8x}{-8} =\frac{-24}{-8}[/tex]
Simplify:
x = 3
Substitute the value of x = 3 in equation [1] to solve for y;
y = 3 -12 = -9
or y = -9
Therefore, the only ordered pair (x, y) the solution of the system of equation is ( 3, -9).
