Question

⚡Solve the following equations ⚡


1. Expand and simplify the algebraic expression (x + 3)(x - 3) - (-x - 9)

2. Which property is used to write a(x + y) = a x + a y

3. Simplify ( 8 x3 ) / ( 2 x-3)

4. Simplify (-a2b3)2(c2)0

5. For what value of k is the point (-2, k) on the line with equation -3 x + 3 y = 4?


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✔ Give proper explanation
✔ no copy paste
✔ no spam answers​

Answer 1

$\huge{\underline{\underline{\mathfrak{\purple{answer}}}}}$

-3x + 3y = 4

let x = ( -2 ) and y = k

=> -3 × ( -2 ) + 3 × ( k ) = 4

=> 6 + 3k = 4

=> 3k = 4 - 6

=> 3k = -2

=> k = -2/3

Answer 2

$\huge\tt\colorbox{pink}{ǫᴜᴇsᴛɪᴏɴ }$

$\boxed{\red{Expand\: and\: simplify\:the \: algebraic\: expression\:(x + 3) (x - 3) - (-x - 9)}}$

$\huge\tt\colorbox{pink}{αղsաҽɾ}$

$(x + 3)(x - 3) - ( - x - 9) \\ \\ = {x}^{2} - 3x + 3x - 9 + (x - 9) \\ \\ = {x}^{2} - 9 + x - 9 \\ \\ = {x}^{2} + x - 18$

$\huge\tt\colorbox{pink}{ǫᴜᴇsᴛɪᴏɴ }$

$\boxed{\red{Which \:property \:is \:used \:to \:write\: a(x + y) = a x + a y}}$

$\huge\tt\colorbox{pink}{αղsաҽɾ}$

The property illustrated by the equation ax + ay = a(x + y) is the distributive property of equality.

$\huge\tt\colorbox{pink}{ǫᴜᴇsᴛɪᴏɴ 3}$

$\boxed{\red{Simplify\: (8x - 3) / (2x - 3)}}$

$\huge\tt\colorbox{pink}{αղsաҽɾ}$

The expression cannot be further simplified ! Check it and lemme know !

$\huge\tt\colorbox{pink}{ǫᴜᴇsᴛɪᴏɴ }$

$\boxed{\red{Simplify\: (-a2b3)2(c2)0}}$

$\huge\tt\colorbox{pink}{αղsաҽɾ}$

$0$

$\huge\tt\colorbox{pink}{ǫᴜᴇsᴛɪᴏɴ }$

$\boxed{\red{For \:what\: value \:of \:k \:is \:the \:point\: (-2, k) \:on\:the\: line\: with\: equation\: -3x + 3y = 4}}$

$\huge\tt\colorbox{pink}{αղsաҽɾ}$

$- 3x + 3y = 4 \\ \\ let \: x = ( - 2) \: and \: y \: = k \\ \\ = > - 3 \times ( - 2) + 3 \times (k) = 4 \\ \\ = > 6 + 3k = 4 \\ \\ = > 3k = 4 - 6 \\ \\ = > 3k = - 2 \\ \\ = > k = \frac{ - 2}{3}$

Thnku !