alexanderreyes1644
Answered

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

Sagot :

RevyBreeze

Answer:

No Solution

Step by step explanation:

Multiply both sides of the equation by a coefficient:

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

Apply Multiplicative Distribute Law:

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

Calculate the Product

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

Add up the two equations:

[tex]8x-2y+(-8x+2y)=1+6[/tex]

Remove parentheses:

[tex]8x-2y-8x+2y=1+6[/tex]

Cancel the unknown variables:

[tex]0=1+6[/tex]

Calculate the Sum:

[tex]0=7[/tex]

Answer = No Solution

[RevyBreeze]

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