danimaxwell344 danimaxwell344
  • 17-04-2022
  • Mathematics
contestada

Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution
y =4x-2
y=x+3

Respuesta :

semsee45
semsee45 semsee45
  • 17-04-2022

Answer:

[tex]\left(\dfrac53,\dfrac{14}{3}\right)[/tex]

Step-by-step explanation:

Equation 1:  y = 4x - 2

Equation 2:  y = x + 3

Subtract Equation 2 from Equation 1 and solve for x:

⇒ 0 = 3x -5

⇒ 3x = 5

⇒ x = 5/3

Substitute found value of x into one of the equations and solve for y:

⇒ y = 5/3 + 3

⇒ y = 14/3

Therefore, the solution of the system of equations is:

[tex]\left(\dfrac53,\dfrac{14}{3}\right)[/tex]

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