What do you mean by equations?
Answer. The equations are the statement of equality.
What do you mean linear?
Answer. The word ‘linear’ comes from the word ‘line’ which is a straight line. The linear equations are the equations that represent a line.
What is transposition?
Answer. The process of transfer of the terms of equations from one side to the other, is called transposition of terms of an equation.
Solve the Following Linear Equations. Level: Easy
1. 3x+7=13
2. 2x-1=\frac5 3
3. \frac{x+3}{x-4}=8
4. 3m+8=-2m+3
5. 3x-2(3-x)=4
6. \frac 3 2 +x=\frac 5 2 -x
7. 3(x-2)+2(x-7)=0
8. 5-3(x-4)=3(x-7)+8(x+3)
9. -3(x-4)=-\frac 1 2 +7x
10. 3x-4(5-x)=-2(3-x)+7
Answer
1. x=2
2. x= \frac 4 3
3. x=5
4. x=-1
5. x=2
6. x= \frac 1 2
7. x= 4
8. x=1
9. x= \frac 5 4
10. x=-4
Solve the Following Linear Equations. Level: HOTS
1. 5x-4=\frac 6 5
2. x-\frac x 3=2
3. \frac {1}{1-x}-2=\frac{1}{2}
4. \frac 3 2 x = x+5
5. 2(x-5)+5(x+7)=-3(x+5)
6. \frac 3 2(x-2)-\frac 2 3(x-4)=(x+2)
7. 3x-\frac {3-x}{2} =2x-1
8. \frac 1 3 (x-1)+ \frac 1 2 (x-2)-\frac 1 6 (x-3)=1
9. x-\frac {1-x}{3}=4-\frac x 2
10. \frac{3x-2}{x-3} =4-\frac{x-4}{x-1}
11. 3x – \frac{x-2}{3} = 6- \frac{2-x}{7}
12. \frac1 2 – \frac t 6 = 3(t-5)+2t
13. \frac{x-3}{2}+\frac{x-4}{5}-\frac{x-7}{10}=2
14. m- \frac{m-1}{3} =2m-3
15. \frac{x}{2}+\frac{x}{6}+\frac{x}{12}+\frac{x}{20}+\frac{x}{30}+\frac{x}{42}+\frac{x}{56}+\frac{x}{72}=8
16. 1-\frac{3x+1}{5} +2(3x+8)=6
17. \frac{1+x}{12}-\frac{3-2x}{16}=\frac{3x-20}{24}+1
18. \frac{2t-8}{7}=1-3(t+\frac 2 7 )+ 2(2t-1)
19. \frac 2 x + \frac {3}{2x} = \frac{7}{x-7}
20. \frac{3}{x+3}- \frac{1}{x-4} = \frac{2x}{x^2+4x+3}
21. 5(2x-3)+3(x-4)=7(1-x)-2(3-5x)
22. 4m-[m-5\{3-2(m-6)\}+1-2m]=-5
23. \frac{1}{(x+2)(x+3)}+\frac{2}{(x+3)(x+5)}+\frac{3}{(x+5)(x+8)}+\frac{1}{x+8}=1
24. 1+\frac{3}{3+\frac{x+3}{2+\frac{x+5}{2}}}=2
25. \sqrt{x-2}-\sqrt{x-3}=1
26. \frac m 2 + \frac 2 m =m + \frac 3 m -2 [Where \: \: m \neq 0]
Answer
1. x=\frac{26}{25}
4. x=10
7. x=\frac 1 3
10. x=-\frac 1 2
13. x=\frac{22}{3}
16. x=-2
19. x=-7
22. m=5
25. x=1
2. x=3
5. x=-4
8. x=\frac{5}{2}
11. x=2
14. m=\frac 5 2
17. x=-\frac{13}{4}
20. x=- \frac{7}{3}
23. x=-1
26. m=- \frac 1 2
3. x=\frac 3 5
6. x=-14
9. x=\frac{26}{11}
12. x=-3
15. x=9
18. t=1
21. x=4
24. x=-3