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3 years ago

What algebraic expression represents GK, if GK =37, what are GH and JK. GJ=4x+2 and HK=6x-1

Mathematics

1 answer:

torisob [31]3 years ago

8 0

Answer:

The answer is "GK=37, GH=14, and JK=19 ".

Step-by-step explanation:

In the question, an attachment file is missing.so, please find its attached file.

Given values:

GJ=4x+2

HK=6x-1

GK =37

Find:

HJ=?

GK = GJ+JK

= GJ+(HK-HJ)

= 4x+2+((6x-1)-x)

= 4x+2+6x-1-x

9x+1...(a)

Solve equation (a) and put the value of x in the equation:

=9(4)+1

=36+1

=37

find GH and JK=?

Given:

GK=37

Formula:

GH = GJ-HJ

= 4x+2- x

= 3x+2....(b)

Solve equation (a):

GK= 9x+1

37=9x+1

36=9x

x=4....(c)

put the value of equation (b) in equation (c)

GH = 3x+2

= 3(4)+2

= 12+2

= 14

Formula:

JK= HK-HJ

= 6x-1- x

= 5x-1

put the value of x in the above equation:

= 5(4)-1

= 20-1

=19

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