Question

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

Answer 1

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

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