bclaydon497
bclaydon497 bclaydon497
  • 02-03-2021
  • Mathematics
contestada


Find y
Solve the simultaneous
equations


3x + 2y = 27 3x - Y = 9
​

Respuesta :

xero099
xero099 xero099
  • 07-03-2021

Answer:

[tex]y = 6[/tex]

Step-by-step explanation:

To find [tex]y[/tex], we need to eliminate [tex]x[/tex] in this system of equations:

[tex]3\cdot x + 2\cdot y = 27[/tex] (1)

[tex]3\cdot x - y = 9[/tex] (2)

From (1) and (2):

[tex]x = \frac{27-2\cdot y}{3}[/tex]

[tex]x = \frac{9+y}{3}[/tex]

Then, we equalize both expressions and solve for [tex]y[/tex]:

[tex]\frac{27-2\cdot y}{3} = \frac{9+y}{3}[/tex]

[tex]27-2\cdot y = 9 + y[/tex]

[tex]3\cdot y = 18[/tex]

[tex]y = 6[/tex]

Answer Link

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