sawyerjuden sawyerjuden
  • 31-01-2024
  • Mathematics
contestada

Solve the system by substitution.
y, equals, 3, x, plus, 14
y=
3x+14
y, equals, x
y=
x

Respuesta :

Mickeym175
Mickeym175 Mickeym175
  • 31-01-2024

Answer:

[tex](-7,-7)[/tex]

Step-by-step explanation:

[tex]y=3x+14[/tex]

[tex]y=x[/tex]

Since x is equal to y we can substitute the x value in the first equation with y

[tex]y=3y+14[/tex]

Subtract both sides by y

[tex]0=2y+14[/tex]

Subtract both sides by 14

[tex]-14=2y[/tex]

Divide both sides by 2

[tex]-7=y[/tex]

And since y equals x then x will be -7 also.

(-7,-7) is the solution to this system of equations.

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