Question

Solve the system using substitution:
y = -6x + 7

3x – 2y = 16

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Answer 1

Answer: 1 .x=-1/6y+7/6 (2.x=2/3y+16/3

Explanation:

Answer 2

x=-6 y=-1

Explanation:

// Solve equation [2] for the variable y

[2] y = -x - 7

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

[1] 3x - 2•(-x -7) = -16

[1] 5x = -30

// Solve equation [1] for the variable x

[1] 5x = - 30

[1] x = - 6

// By now we know this much :

x = -6

y = -x-7

// Use the x value to solve for y

y = -(-6)-7 = -1

Solution :

{x,y} = {-6,-1}