Write a second equation for each system so that the system will have the indicated number of solutions. one {y = 5 x -3}

none {y = -x + 3}

an infinite number {y = 3 x -2}

Step-by-step explanation:

Any line with a different slope (x-coefficient) will give a system with one solution. For example,

  y = -2x +6

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Any line with the same x-coefficient and a different constant will give a system with no solutions. (The lines will be parallel.) For example,

  y = -x

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Any multiple of the same equation will give a system with an infinite number of solutions. For example, we can multiply the equation by 2 to get ...

  2y = 6x -4

step-by-step explanation: