MATH SOLVE

4 months ago

Q:
# Which ordered pair is the solution to the system of equations? {y=3x−124x+6y=−6 (3, −3) (6, −5) (0, −12) (4, −7)

Accepted Solution

A:

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 = -6Combine like terms;22x - 72 = -6Add 72 to both sides of an equation; we get22x - 72 + 72 = -6 + 72Simplify:22x = 66Divide by 22 to both sides we get;[tex]\frac{22x}{22} = \frac{66}{22}[/tex]Simplify:x = 3Substitute the value of x = 3 in equation [1] to solve for y;y = 3(3) - 12 y = 9 - 12= -3 ory = -3Therefore, the only ordered pair (x, y) the solution of the system of equation is ( 3, - 3).