Question

Solve the system of equations.{y=2x−64x−2y=14{y=2x−64x−2y=14use the substitution method.the solution is (4, 14)(4, 14).the solution is (14, 4)(14, 4).there is no solution.there are an infinite number of solutions.

Answer 1

Answer:

Option C is correct.

No solutions

Step-by-step explanation:

Given the system of equation:

$y =2x-6$               ....[1]

$4x-2y=14$             .....[2]

Substitute equation [1] into [2] we get;

$4x-2(2x-6)=14$

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

$4x-4x+12=14$

Combine like terms;

$12=14$                False.

Therefore, there is no solution for the given system of the equations.

Answer 2

I did this test and failed. But when I reviewed it showed me the right answers... so here is the answer: C. There is no solution.