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What is the value of x in the solutions to the system of equations below3x-8y=112y+x=13

User ProEvilz
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1 Answer

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Given system of equations

3x - 8y = 11 ______________________1

2y + x = 13 ______________________ 2

Use the substution method

How to use the substitution method

1. pick one of the equation

2. make one of the variable subject of relation

3. substitute

From equation (1)

2y + x = 13

x = 13 - 2y

substitute x from equation 1 to 2.

3(13 - 2y) - 8y = 11

39 - 6y - 8y = 11

39 - 11 = 6y + 8y

28 = 14y

y = 28/14

y = 2

Next, substitute y in equation 2 to find x.

x = 13 - 2y

x = 13 - 2(2)

x = 13 - 4

x = 9

Final answer x = 9

User James Schek
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