Solve the given system, using the substitution method.

y = 4x – 6
8x – 2y = 14

(Points : 1)
(14, 12)
(12, 14)
There are an infinite number of solutions.
There is no solution.

Question

Solve the given system, using the substitution method.

y = 4x – 6
8x – 2y = 14

(Points : 1)
       (14, 12)
       (12, 14)
       There are an infinite number of solutions.
       There is no solution.

whpalmer4 · Answer

Substitution method means solving one equation for one of the variables (already done here in the first equation we have $y = 4x-6$) and substituting that value into the other equation(s).

$$y=4x-6$$$$8x-2y=14$$We take the right hand side of the first equation and replace $y$ wherever we encounter it in the second equation, giving us an equation only in terms of $x$:
$$8x - 2(4x-6) = 14$$Now solve that for $x$.  When you have done so, use the value of $x$ you found, with either equation, to find the value of $y$.

anonymous · Answer

just sub in 4x - 6 in for y in the 2nd equation

whpalmer4 · Answer

Now, if the solution ends up being something like $$0=0$$, that means there are an infinite number of solutions.  If it ends up being something nonsensical, like $$0=1$$, that means there are no solutions.

anonymous · Answer

if it comes out equal on both sides, there are infinite solutions. If they do not come out equal, there is no solution