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

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.

Answer 2

Option C is correct.

No solutions

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.