Question

8x - 3y = 12
-8x+3y=5.

Answer 1

• No solution

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Given system:

• 8x - 3y = 12,
• - 8x + 3y = 5.

We see constants are same with opposite sign.

To make them same multiply both sides of the second equation by -1:

• ( -1 )( -8x + 3y) = ( - 1)*5 ⇒ 8x - 3y = - 5

Now we have two equations with same left sides but different right sides:

• 12 = - 5

This is false and hence the system has no solution.