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1. Equations 79-3x=12x+19 and x²+3=10x−21 has the solution set {4}.

   Given that, the equations that have {4} as its solution set.

   What is an equation?

   In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

   1) Solution of an equation 5 + 2x = 3x + 3 is

   3x-2x=5-3

   ⇒x=2

   2) Solution of an equation 7−x=12x is

   7−x=12x

   ⇒12x+x=7

   ⇒13x=7

   ⇒x=7/13

   3) Solution of an equation 79−3x=12x+19 is

   12x+3x=79-19

   ⇒15x=60

   ⇒x=4

   4) Solution of an equation x²+3=10x−21 is

   x²+3=10x−21

   ⇒ x²-10x+24=0

   ⇒ x²-6x-4x+24=0

   ⇒ x(x-6)-4(x-6)=0

   ⇒ (x-6)(x-4)=0

   ⇒ x=6 or 4

   Therefore, equations 79-3x=12x+19 and x²+3=10x−21 has the solution set {4}.

   To learn more about an equation visit:

   https://brainly.com/question/14686792.

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2. Answer:

   Option 3 (79−3x=12x+19)

   Step-by-step explanation:

   When replacing x with 4 you will get the answer 67 = 67, which is true! The other three options are not true when replacing x with 4.

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