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PR3D3T0R PR3D3T0R
  • 10-09-2018
  • Mathematics
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Аноним Аноним
  • 10-09-2018

An equation has an infinite number of solutions if the left and right sides are identical. Let's simplify them both and then decide the value of ?.

Left hand side:

[tex] 5(x-4)+? = 5x - 20 + ? [/tex]

Right hand side:

[tex] 1+12x-21 = 12x-20 [/tex]

So, both sides have a numeric part of -20. We can use the "?" value to make sure that the literal part is the same as well. So, we want

[tex] 5x+? = 12x \iff ? = 12x-5x = 7x [/tex]

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