Question

solve the following equations check your result in each case 1) 7-5x=5-7x​

Answer 1

Answer:

$7 - 5x = 5 - 7x \\ 7 - 5 = - 7x + 5x \\ 2 = 2x \\ x = - 2 \div 2 \\ x = - 1 \\ \\ \\ check \: put \: x = - 1 \\ 7 - 5 \times - 1 = 5 - 7 \times - 1 \\ 7 + 5 = 5 + 7 \\ 12 = 12$

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Answer 2

Given equation:

• 7-5x = 5-7x

Solution:

LHS = 7-5x

RHS = 5-7x

7-5x = 5-7x

$\bigstar {\mathfrak {\red {Transposing\ -7x\ to\ LHS\ and\ 7\ to\ RHS}}}$

-5x+7x = 5-7

2x = -2

$\bigstar {\mathfrak {\pink {Transposing\ 2\ to\ RHS}}}$

x = $\sf \dfrac {-2}{2}$

$\dag {\boxed {\bf {\orange {x = -1}}}}$

Verification:

Substitute the value of 'x' as (-1) in the equation,

7-5x = 5-7x

7-5×(-1) = 5-7×(-1)

7+5 = 5+7

12 = 12

LHS = RHS

Hence Verified!

Value of x:

Value of x is (-1).