Transform the equation into the form y=ax+by=ax+by=ax+b.
2x−y=62x-y=62x−y=6
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x=12(y+1)x=\frac12(y+1)x=21(y+1)
The fraction on the right side vanishes because 12⋅2=1\frac12\cdot2=121⋅2=1 .
Swap the left and right sides.
25y=2x−1\frac25y=2x-152y=2x−1
Note: On the right-hand side, each element is multiplied by 52\frac5225:
25⋅y⋅52=1010⋅y=1⋅y; 2x⋅52=102x=5x; −1⋅52=−52\frac25\cdot y\cdot\frac52=\frac{10}{10}\cdot y=1\cdot y;\\\;\;\;2x\cdot\frac52=\frac{10}2x=5x;\\\;\;\;-1\cdot\frac52=-\frac5252⋅y⋅25=1010⋅y=1⋅y;2x⋅25=210x=5x;−1⋅25=−25
y=3(2x−1)y=3(2x-1)y=3(2x−1)
Multiply out the bracket.
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