Question

solve the following equations: 7x-5=2x. ,5x-12=2x-6. ,5(p-3)=(p=2) ,5(z+3)=4(2z+1),15(x-1)+4(x-3)=2(7+x),8m+9=7m+8. ,9y+5=15y-1, 5(z+3)=4(2z+1) with verification​

Answer 1

1. 7x-5=2x

7x-2x=5

5x=5

x=5/5

x=1

Verification:- putting x = 1 in equation 7x-5=2x

7(1)-5=2(1)

7-5=2

2=2

LHS= RHS

2. 5x-12= 2x-6

5x-2x= 12-6

3x=6

x=2

Verification:- putting x= 2 in equation 5x-12= 2x-6

5(2)-12=2(2)-6

10-12=4-6

-2=-2

LHS = RHS

3. 5(p-3)=(p-2)

5p-15=p-2

5p-p=-2+15

4p= 13

p=13/4

Verification:- putting p=13/4 in equation 5(p-3)=(p-2)

5(13/4-3)=(13/4-2)

5(13-12)/4=(13-8/4)

5/4=5/4

LHS = RHS

4. 5(z+3)=4(2z+1)

5z+15=8z+4

15-4=8z-5z

11=3z

z= 11/3

Verification :- putting z= 11/3 in equation 5(z+3)=4(2z+1)

5(11/3+3)=4(22/3+1)

5(20/3)=4(25/3)

100/3=100/3

LHS = RHS

5. 15(x-1)+4(x-3)=2(7+x)

15x-15+4x-12=14+2x

19x-27=14+2x

17x= 14+27

17x= 41

x= 41/17

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