Question

solve the following equation.write your answer 1. 7x =21 2. 15+d=32 3. -8= -24 4.z-12=15 5.h/5 =8 6.5y+3=18 7. 3n-5=16​

Answer 1

Solve the following equations and write your answer :-

Question 1 :-

$\longmapsto\sf7x = 21$

Transposing 7 from LHS to RHS, changing it's sign,

$\longmapsto\sf x = \dfrac{21}{7}$

Dividing 21 by 7,

$\longmapsto\underline{\boxed{\sf x = 3}}$

Question 2 :-

$\longmapsto\sf15 + d = 32$

Transposing 15 from LHS to RHS, changing it's sign,

$\longmapsto\sf d = 32 - 15$

Subtracting 15 from 32,

$\longmapsto\underline{\boxed{\sf d = 17}}$

Question 3 :-

$\longmapsto\sf - 8x = - 24$

Transposing -8 from LHS to RHS, changing it's sign,

$\longmapsto\sf x = \dfrac{ - 24}{ - 8}$

Dividing -24 by -8,

$\longmapsto\underline{\boxed{\sf x = 3}}$

Question 4 :-

$\longmapsto\sf z - 12 = 15$

Transposing 12 from LHS to RHS, changing it's sign,

$\longmapsto\sf z = 15 + 12$

Adding 12 to 15,

$\longmapsto\underline{\boxed{\sf z = 27}}$

Question 5 :-

$\longmapsto \sf\dfrac{h}{5} = 8$

Transposing 5 from LHS to RHS, changing it's sign,

$\longmapsto\sf h = 8 \times 5$

Multiplying 8 with 5,

$\longmapsto\underline{\boxed{\sf h = 40}}$

Question 6 :-

$\longmapsto\sf5y + 3 = 18$

Transposing 3 from LHS to RHS, changing it's sign,

$\longmapsto\sf 5y = 18 - 3$

Subtracting 3 from 18,

$\longmapsto\sf5y = 15$

Transposing 5 from LHS to RHS, changing it's sign,

$\longmapsto\sf y = \dfrac{15}{5}$

Dividing 15 by 5,

$\longmapsto\underline{\boxed{\sf y = 3}}$

Question 7 :-

$\longmapsto\sf3n - 5 = 16$

Transposing 5 from LHS to RHS, changing it's sign,

$\longmapsto\sf3n = 16 + 5$

Adding 5 to 16,

$\longmapsto\sf3n = 21$

Transposing 3 from LHS to RHS, changing it's sign,

$\longmapsto\sf n = \dfrac{21}{3}$

Dividing 21 by 3,

$\longmapsto\underline{\boxed{\sf n = 7}}$