angelinadurfee
angelinadurfee angelinadurfee
  • 01-08-2021
  • Mathematics
contestada

9x+5y=34
8x-2y=-2
What are the values of x and y? Please explain the steps.​

Respuesta :

bjhazael
bjhazael bjhazael
  • 01-08-2021

Answer:

x = 1 and y =5

Step-by-step explanation:

[tex]8x -2y= -2\\Divide by -2\\-4x+y = 1\\add 4x\\y= 1+4x\\[/tex]

Substitute this value of y in the next equation.

[tex]9x+5(1+4x) = 34\\9x+5+20x=34\\29x+5=34\\29x=29\\x=1[/tex]

Solve for y using x.

[tex]y=4x+1\\y=4(1)+1\\y=5[/tex]

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