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3 years ago

13

Solve the system of equations by multiplying first. Enter the solution as an ordered pair.

2 answers:

Dmitriy789 [7]3 years ago

5 0

(4,-2) is the answer because it is the intersection point of the two systems of equations on a graph

Oksana_A [137]3 years ago

3 0

Hi. The answer is x=4, y=-2 and the ordered pair would be (4,-2) good luck!

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The length and width of a rectangle are ( 2x -5) and ( 3 x +4) What is the Perimeter?

Stella [2.4K]

Answer:

$\fbox{ \sf{Perimeter \: of \: a \: rectangle = 10x - 2}}$

Step-by-step explanation:

$\star{ \sf{ \: \: Length \: of \: a \: rectangle ( l ) = (2x - 5) }}$

$\star{ \sf{ \: Width \: of \: a \: rectangle ( w ) = (3x + 4)}}$

$\star{ \sf{ \: \: Perimeter \: of \: a \: rectangle = ?}}$

$\boxed{ \bold{ \sf{Perimeter \: of \: a \: rectangle = 2(l + w)}}}$

$\hookrightarrow{ \sf{Perimeter \: of \: a \: rectangle = 2(2x - 5 + 3x + 4)}}$

$\text{Step \: 1 : \: Collect \: like \: term}$

$\text{Like \: terms \: are \: those \: which \: have \: the \: same \: base}$

$\hookrightarrow{ \sf{2(2x + 3x - 5 + 4)}}$

$\hookrightarrow{ \sf{2(5x - 5 + 4)}}$

$\text{Step \: 2 \: : \: Subtract \: 4 \: from \: 5}$

$\text{Remember !\: : the \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer}$

$\hookrightarrow{ \sf{2(5x - 1)}}$

$\text{Step \: 3 \: : \: Distribute \: 2 \: through \: the \: parentheses}$

$\hookrightarrow{ \sf{2 \times 5x - 2 \times 1}}$

$\hookrightarrow{ \sf{10x - 2}}$

$\sf{∴ \: The \: perimeter \: of \: a \: rectangle = 10x - 2}$

$\text{Hope \: I \: helped !}$

$\text{Best \: regards ! }$

~ $\text{TheAnimeGirl}$

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