mariamguirguis00
mariamguirguis00 mariamguirguis00
  • 08-09-2021
  • Mathematics
contestada

2x + 3y = 13
5x – 3y = 1
What is the value of x?
What is the value of y?

Respuesta :

r3t40
r3t40 r3t40
  • 08-09-2021

Use elimination.

Add the equations by columns to get the third equation,

[tex]2x+5x=7x[/tex]

[tex]3y-3y=0[/tex]

[tex]13+1=14[/tex]

The new equation has only one unknown, [tex]7x+0=14[/tex] so [tex]x=2[/tex].

Now plug in the fact that [tex]x=2[/tex] into one of the equations and solve for y (I will pick 2nd equation),

[tex]5\cdot2-3y=1[/tex]

[tex]-3y=-9\implies y=3[/tex].

The value of [tex]x=2[/tex] and [tex]y=3[/tex].

Hope this helps :)

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