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8x − 2y = 1 with − 4x + y = 3 do these equations have one solution, no solutions, or infinite solutions.

1 Answer

12 votes

Answer:

No Solution

Step by step explanation:

Multiply both sides of the equation by a coefficient:


\left \{ {{8x-2y=1} \atop {2(-4x+y)=3*2}} \right.

Apply Multiplicative Distribute Law:


\left \{ {{8x-2y=1} \atop {-8x+2y=3*2}} \right.

Calculate the Product


\left \{ {{8x-2y=1} \atop {-8x+2y=6}} \right.

Add up the two equations:


8x-2y+(-8x+2y)=1+6

Remove parentheses:


8x-2y-8x+2y=1+6

Cancel the unknown variables:


0=1+6

Calculate the Sum:


0=7

Answer = No Solution

[RevyBreeze]

User Figaro
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