caleb41006 caleb41006

19-07-2021
Mathematics

contestada

Use the substitution methed to solve the system of equations. Choose the correct ordered pair.
2y+5x=13
2y+3x=5

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LammettHash LammettHash

19-07-2021

Solve both equations for 2y :

2y + 5x = 13 ==> 2y = 13 - 5x

2y + 3x = 5 ==> 2y = 5 - 3x

Solve for x :

13 - 5x = 5 - 3x

8 = 2x

x = 4

Solve for y :

2y = 13 - 5×4

2y = -7

y = -7/2

As an ordered pair, the solution is then the point (x, y) = (4, -7/2).

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