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QUESTION IMAGE

select the correct answer. solve the system of equations given below. \…

Question

select the correct answer.

solve the system of equations given below.

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$$\begin{aligned} y - 15 &= 3x \\\\ -2x + 5y &= -3 \\end{aligned}$$

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  • (-6,-3)
  • (-6,3)
  • (-7,-6)
  • (-3,6)

Explanation:

Rearrange the first equation

Using the Systems of Linear Equations knowledge point

$$ LATEXBLOCK0 $$

Substitute into the second equation

Using the Systems of Linear Equations knowledge point

$$ LATEXBLOCK1 $$

Solve for y

Using the Systems of Linear Equations knowledge point

$$ LATEXBLOCK2 $$

State the final solution

Using the Systems of Linear Equations knowledge point

$$ (x, y) = (-6, -3) $$

Answer:

  • (A) (-6,-3) (Correct answer)
  • (B) (-6,3)
  • (C) (-7,-6)
  • (D) (-3,6)