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How many solutions does the following equation have? 5x+8-7x=-4x+1 Choose 1 answer: (A) No solutions (B) Exactly one solution (c) Infinitely many solutions

How many solutions does the following equation have?\newline5x+8−7x=−4x+15x+8-7x=-4x+1\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions

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Q. How many solutions does the following equation have?\newline5x+8−7x=−4x+15x+8-7x=-4x+1\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
  1. Combine like terms: Combine like terms on the left side of the equation.\newline5x−7x+8=−4x+15x - 7x + 8 = -4x + 1\newline(−2x)+8=−4x+1(-2x) + 8 = -4x + 1
  2. Add xx terms: Add 4x4x to both sides to get all the xx terms on one side.\newline(−2x+4x)+8=−4x+4x+1(-2x + 4x) + 8 = -4x + 4x + 1\newline2x+8=12x + 8 = 1
  3. Subtract 88: Subtract 88 from both sides to solve for xx.\newline2x+8−8=1−82x + 8 - 8 = 1 - 8\newline2x=−72x = -7
  4. Divide by 22: Divide both sides by 22 to find the value of xx.2x2=−72\frac{2x}{2} = \frac{-7}{2}x=−3.5x = -3.5

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