Question

give correct answer for 5 number​

Answer 1

Question :-

Find the number that should replace the * in each case to have to solution x = 4

i) 3x + * = 6x - 8

ii) 10 - *x = *x - 22

Answer :-

For solving the given question, we have to substitute x = 4. To make the question simpler, let * = y

i) 3x + y = 6x - 8

Substituting the value of x -

➩ $\rm 3 \times 4 + y = 6 \times 4 - 8$

➩ $\rm 12 + y = 24 - 8$

➩ $\rm 12 + y = 16$

➩ $\rm y = 16 - 12$

➩ $\rm y = 4$

Verification :-

LHS = 3 × 4 + 4 = 12 + 4 = 16

RHS = 6 × 4 - 8 = 24 - 8 = 16

Hence, our answer is correct.

ii) 10x - yx = yx - 22

Substituting the value of x -

➩ $\rm 10 - 4y = 4y - 22$

➩ $\rm 4y + 4y = 22 + 10$

➩ $\rm 8y = 32$

➩ $\rm y = 32/8$

➩ $\rm y = 4$

Verification :-

LHS = 10 - 4 × 4 = 10 - 16 = -6

RHS = 4 × 4 - 22 = 16 - 22 = -6

Hence, our answer is correct

Answer 2

Question :-

Find the number that should replace the * in each case to have to solution x = 4

i) 3x + * = 6x - 8

ii) 10 - *x = *x - 22

Answer :-

For solving the given question, we have to substitute x = 4. To make the question simpler, let * = y

i) 3x + y = 6x - 8

Substituting the value of x -

➩ $\rm 3 \times 4 + y = 6 \times 4 - 8$

➩ $\rm 12 + y = 24 - 8$

➩ $\rm 12 + y = 16$

➩ $\rm y = 16 - 12$

➩ $\rm y = 4$

Verification :-

LHS = 3 × 4 + 4 = 12 + 4 = 16

RHS = 6 × 4 - 8 = 24 - 8 = 16

Hence, our answer is correct.

ii) 10x - yx = yx - 22

Substituting the value of x -

➩ $\rm 10 - 4y = 4y - 22$

➩ $\rm 4y + 4y = 22 + 10$

➩ $\rm 8y = 32$

➩ $\rm y = 32/8$

➩ $\rm y = 4$

Verification :-

LHS = 10 - 4 × 4 = 10 - 16 = -6

RHS = 4 × 4 - 22 = 16 - 22 = -6

Hence, our answer is correct