Question

Without graphing, determine whether the system of linear equations has one solution, infinitely many solutions, or no solution. Explain your reasoning.


`y=15x+1`

`y=15x+2`

Answer 1

`\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}`

First equation :

• 
  `y = 15x + 1`

• 
  `y - 15x - 1 = 0`

Second equation :

• 
  `y = 15x + 2`

• 
  `y - 15x - 2 = 0`

Now, the equations are in the form of

• 
  `a_1x {}^(2) + b_1x + c_1 = 0`

• 
  `a_2x {}^(2) + b_2x + c_2 = 0`

where,

`(a_1)/(a_2) = (b_1)/(b_2) \\eq (c_1)/(c_2)`

therefore the equations would have no solution .

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`\mathrm{ \#TeeNForeveR}`