Question

Which ordered pair is the solution to the system of equations?

Answer 1

The answer is C(3, -9)

Answer 2

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;

$-5x-3(x-12)=12$

Using distributive property : $a \cdot (b+c) =a\cdot b+a\cdot c$

-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;

$\frac{-8x}{-8} =\frac{-24}{-8}$

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).