plz, help!!!!! Solve the given system, using the substitution method.


y = 4x – 6

8x – 2y = 14




(14, 12)


(12, 14)


There is an infinite number of solutions.


There is no solution.

Respuesta :

Answer:

There is no solution.

Step-by-step explanation:

[tex]\begin{bmatrix}y=4x-6\\ 8x-2y=14\end{bmatrix}[/tex]

Plug in the y value.

[tex]8x-2\left(4x-6\right)=14[/tex]

[tex]-2=0[/tex]

Since that equation is false, then the system has no solution.

gmany

Answer:

[tex]\large\boxed{There\ is\ no\ solution}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=4x-6&(1)\\8x-2y=14&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\8x-2(4x-6)=14\qquad\text{use the distributive property}\\\\8x+(-2)(4x)+(-2)(-6)=14\\\\8x-8x+12=14\\\\12=14\qquad\bold{FALSE}\\\\Conclusion:\\\\\text{There is no solution.}[/tex]