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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 :

lovegreen
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:

Option C is correct.

No solutions

Step-by-step explanation:

Given the system of equation:

[tex]y =2x-6[/tex]               ....[1]

[tex]4x-2y=14[/tex]             .....[2]

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

[tex]4x-2(2x-6)=14[/tex]

Using distributive property: [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]

[tex]4x-4x+12=14[/tex]

Combine like terms;

[tex]12=14[/tex]                False.

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

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