shandrikadavis27 shandrikadavis27
  • 24-06-2021
  • Mathematics
contestada

Question
2x + 3y = 11
x – 3y =1
What is the solution (x, y) to the given system of equations?
O (4,0)
O (4,1)
O (12,8)
O (12, 10)

Respuesta :

Hemo4
Hemo4 Hemo4
  • 24-06-2021

Answer: (4, 1)

Step-by-step explanation:

Let's solve this by adding the equations

2x+3y=11

+x-3y=1

3x=12

Now we can solve

[tex]\frac{3x}{3} =\frac{12}{3} \\x=4[/tex]

Now that we know x=4 it can only be the first to options. Let's sub in the value of x to one of the original equations to find the value of y.

[tex]2(4)-3y=11\\8+3y=11\\8+3y-8=11-8\\\\3y=3\\\frac{3y}{3} =\frac{3}{3} \\y=1[/tex]

The answer is (4, 1)

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