Examples with solutions for Solving Equations Using All Methods: Domain of definition

Exercise #1

x+y:32x+6=4 \frac{x+y:3}{2x+6}=4

What is the field of application of the equation?

Video Solution

Answer

x3 x\operatorname{\ne}-3

Exercise #2

6x+5=1 \frac{6}{x+5}=1

What is the field of application of the equation?

Video Solution

Answer

x5 x\operatorname{\ne}-5

Exercise #3

3x:4y+6=6 \frac{3x:4}{y+6}=6

What is the field of application of the equation?

Video Solution

Answer

y6 y\operatorname{\ne}-6

Exercise #4

25a+4b7y+43+2=9b \frac{25a+4b}{7y+4\cdot3+2}=9b

What is the field of application of the equation?

Video Solution

Answer

y2 y\operatorname{\ne}-2

Exercise #5

xyz2(3+y)+4=8 \frac{xyz}{2(3+y)+4}=8

What is the field of application of the equation?

Video Solution

Answer

y5 y\ne-5

Exercise #6

15+34:z4y12+8:2=5 \frac{\sqrt{15}+34:z}{4y-12+8:2}=5

What is the field of application of the equation?

Video Solution

Answer

y2 y\operatorname{\ne}2