Question

Y=–6x+2 –12x – 2y=–4 How many solutions does this linear system have?

Answer 1

The linear equation y = -6x + 2; -12x - 2y = -4 has no solution

Linear equation

y = -6x + 2

-12x - 2y = -4

• Substitute y = -6x + 2 into (2)

-12x - 2y = -4

-12x - 2(-6x + 2) = -4

-12x + 12x -4 = -4

-12x + 12x = - 4 + 4

0 = 0

• Solve for x

y = -6x + 2

y - 2 = -6x

x = (y - 2) / -6

• Substitute into (2)

-12x - 2y = -4

-12(y- 2)/ 6 - 2y = -4

(-12y + 24) / 6 - 2y = -4

-2y + 4 - 2y = 4

0 = 0

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