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Whats the solution system? 2x + 5y = 14 x + 3y = 16

User Omar Fayad
by
7.7k points

2 Answers

4 votes

Answer:

Explanation:

hello :

2x + 5y = 14...(*)

x + 3y = 16....(**)

multiply (**) by -2 : -2x-6y=-32 ...(***)

add(*) and (***) : -y=-18 so y = 18

put this value in to (*) : 2x+5(18)=14

2x = -76

x = - 38

User Pierallard
by
8.3k points
6 votes

Answer:

Explanation:

2x + 5y = 14 -------------(i)

x + 3y = 16 ----------------(ii)

To eliminate x, multiply the second equation by (-2)

(ii)*(-2) -2x - 6y = -32

(i) 2x + 5y = 14 { Now add & x is eliminated}

- y = - 18 {divide by (-1)}

y = 18

Plug in y =18 in Equation (i)

2x + 5*18 = 14

2x + 90 = 14

2x = 14 - 90

2x = -76

x = -76/2

x = -38

User GreenGodot
by
8.1k points

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