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Algebra Difficulty 1.8 Junior Find the answer

If y=1y=1 and 4x2y+3=3x+3y4x-2y+3=3x+3y, what is the value of xx?

A number or a short expression. Spacing and $ signs are ignored.

Solution

Substituting y=1y=1 into the second equation, we obtain 4x2(1)+3=3x+3(1)4x-2(1)+3=3x+3(1). Simplifying, we obtain 4x2+3=3x+34x-2+3=3x+3 or 4x+1=3x+34x+1=3x+3. Therefore, 4x3x=314x-3x=3-1 or x=2x=2.

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