mariahv9 mariahv9
  • 20-11-2021
  • Mathematics
contestada

Solve the system of equations
−2x+3y=3
−4x+5y=1

Respuesta :

Leora03
Leora03 Leora03
  • 20-11-2021

Answer:

x= 6, y= 5

Step-by-step explanation:

-2x +3y= 3 -----(1)

-4x +5y= 1 -----(2)

(1) ×2:

-4x +6y= 6 -----(3)

(3) -(2):

-4x +6y -(-4x +5y)= 6 -1

Expand:

-4x +6y +4x -5y= 5

y= 5

Substitute y= 5 into (1):

-2x +3(5)= 3

-2x +15= 3

2x= 15 -3

2x= 12

x= 12 ÷2

x= 6

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