Question

Select all the equations that have {4} as its solution set. 5 + 2x = 3x + 37−x=12×79−3x=12x+19×2+3=10x−21

5 + 2x = 3x + 3

7−x=12x

79−3x=12x+19

x2+3=10x−21

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}.