Question

Use substitution to solve the linear system of equations. (-8, -2) (8, -2) (-2, 8) (-2, -8).

Answer 1

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,

$\rm y = 4x\\\\3x + 5y = -46$

Substitute y = 4x in the equation 2,

$\rm 3x+5y = -46\\\\3x+5(4x) =-46\\\\3x+20x=-46\\\\23x=-46\\\\x =\dfrac{-46}{23}\\\\x = -2$

Substitute the value of x in equation 1,

$\rm y = 8x\\\\y = 8(-2)\\\\y = -16$

Hence, The solution of the system of equation is (-8, -2).

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brainly.com/question/3144348