mookiemook1230151 mookiemook1230151
  • 10-12-2018
  • Mathematics
contestada

What is the solution to the system of equations?

y = x – 10

2x + y = 4

(–8, 6)
(–6, 16)
(6, –8)
(16, –6)

Respuesta :

calculista
calculista calculista
  • 18-06-2019

Answer:

The solution is the point (6,-8)

Step-by-step explanation:

we have that

The first equation is [tex]y=(1/3)x-10[/tex] instead [tex]y=x-10[/tex]

[tex]y=(1/3)x-10[/tex] -----> equation A

[tex]2x+y=4[/tex] -----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B and solve for x

[tex]2x+[(1/3)x-10]=4[/tex]

[tex](7/3)x=14[/tex]

[tex]x=6[/tex]

Find the value of y

[tex]y=(1/3)(6)-10=-8[/tex]

therefore

The solution is the point (6,-8)

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