Question

Solve the system of equations -x + 2y = –2 and 6x – y = -43 by combining
the equations.

Answer 1

{x,y}={-8,-5}

Explanation:

/ Solve equation [2] for the variable y

[2] y = 6x + 43

// Plug this in for variable y in equation [1]

[1] -x + 2•(6x+43) = -2

[1] 11x = -88

// Solve equation [1] for the variable x

[1] 11x = - 88

[1] x = - 8

// By now we know this much :

x = -8

y = 6x+43

// Use the x value to solve for y

y = 6(-8)+43 = -5

Solution :

{x,y} = {-8,-5}

hope this helps!