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If the solution to the linear equation 4x + 5y = 20 is (2, 0), what is the value

Practice Questions

Q1
If the solution to the linear equation 4x + 5y = 20 is (2, 0), what is the value of y when x = 2?
  1. 0
  2. 4
  3. 5
  4. 2

Questions & Step-by-Step Solutions

If the solution to the linear equation 4x + 5y = 20 is (2, 0), what is the value of y when x = 2?
  • Step 1: Start with the equation 4x + 5y = 20.
  • Step 2: We want to find the value of y when x = 2.
  • Step 3: Substitute x = 2 into the equation: 4(2) + 5y = 20.
  • Step 4: Calculate 4(2) which equals 8, so the equation becomes 8 + 5y = 20.
  • Step 5: To isolate 5y, subtract 8 from both sides: 5y = 20 - 8.
  • Step 6: Calculate 20 - 8 which equals 12, so now we have 5y = 12.
  • Step 7: To find y, divide both sides by 5: y = 12 / 5.
  • Step 8: Calculate 12 / 5 which equals 2.4.
  • Linear Equations – Understanding how to substitute values into a linear equation to find corresponding variable values.
  • Coordinate Points – Recognizing that the solution (2, 0) indicates the values of x and y that satisfy the equation.
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