Question 1

A) 6x(3x+5)-2x(9x-2)=17
b) 2x(3x -1)-3x(2x+11)-70=0

Question 2

Answer:

a). 18x+30 - 18x+4=17

18x-18x 30+4 =17

34=17

Question 3

$(a) \: { \pink{ \boxed{ \blue{ \sf{x = (13)/(30)}}}}}$

$(b) \: { \pink{ \boxed{ \blue{ \sf{x = -2}}}}}$

Explanation:

$(a){ \red{ \sf{6x(3x + 5) - 2x(9x - 2) = 17}}}$

${ \red{ \sf{ { \cancel{18x}^(2) + 30x \: { \cancel { - 18x}^(2) + 4 = 17}}}}}$

${ \red{ \sf{30x + 4 = 17}}}$

${ \red{ \sf{30x = 17 - 4}}}$

${ \red{ \sf{30x = 13}}}$

Divide both the sides by 30 then,

${ \red{ \sf{ \cancel {(30)/(30)}}}}{ \red{ \sf{x} = (13)/(30)}}$

${ \red{ \boxed{ \green{ \sf{x = (13)/(30)}}}}}$

$(b) { \red{ \sf{2x(3x - 1) - 3x(2x + 11) - 70 = 0}}}$

${ \red{ \sf{ { \cancel{6x}^(2) - 2x}}}} \: \: { \red{ \sf{ \cancel { - 6x}^(2) - 33x - 70 = 0}}}$

${ \red{ \sf{ - 2x - 33x - 70 = 0}}}$

${ \red{ \sf{ - 35x - 70 = 0}}}$

${ \red{ \sf{ - 35x = 70}}}$

Divide both the sides by -35 then,

${ \red{ \sf{ \cancel {( - 35)/( - 35)}}x}}= { \red{ \sf{ { - \frac{ \cancel{70} ^(2) } { \cancel{35_(1) }}}}}}$

${ \red{ \boxed{ \green{ \sf{x = -2}}}}}$

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