Linear Equations in Two Variables

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Questions and Answers

What is the number represented by the two-digit number z, where z is exactly four times the sum of its digits and twice the product of the digits?

  • 42 (correct)
  • 15
  • 24
  • 51

In the pair of linear equations $2x+y=6$ and $2x-y+2=0$, what is the area of the shaded region bounded by these lines and the x-axis?

  • 8 square units
  • 12 square units
  • 10 square units (correct)
  • 14 square units

If the ratio of two numbers is 2:3, what is the sum of the two numbers?

  • 15 (correct)
  • 20
  • 5
  • 10

For the system of equations $2x+3y=7$ and $(p+q+1)x+(p+2q+2)y=4(p+q)+1$, what are the values of p and q for which the system represents coincident lines?

<p>p=2, q=1 (A)</p> Signup and view all the answers

If the length of the sides of an equilateral triangle are $2x$, $x+y$, and $x+2y$, what is the perimeter of the triangle?

<p>$9x+4y$ (C)</p> Signup and view all the answers

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