Respuesta :
The solution of the system of equation is (-8, -2).
Given that,
Use substitution to solve the linear system of equations.
y = 4x
3x + 5y = -46
We have to determine,
Solve the equation using the substitution method.
According to the question,
The given system of equation is,
[tex]\rm y = 4x\\\\3x + 5y = -46[/tex]
Substitute y = 4x in the equation 2,
[tex]\rm 3x+5y = -46\\\\3x+5(4x) =-46\\\\3x+20x=-46\\\\23x=-46\\\\x =\dfrac{-46}{23}\\\\x = -2[/tex]
Substitute the value of x in equation 1,
[tex]\rm y = 8x\\\\y = 8(-2)\\\\y = -16[/tex]
Hence, The solution of the system of equation is (-8, -2).
For more details refer to the link given below.
https://brainly.com/question/3144348
