Select all the equations that have {4} as its solution set. 5 + 2x = 3x + 37−x=12x79−3x=12x+19x2+3=10x−21


5 + 2x = 3x + 3

7−x=12x

79−3x=12x+19

x2+3=10x−21

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.

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.

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}.

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