Tell whether the ordered pair is a solution of the equation. Just substitute the given x and y to see if the equation “works”. Write “solution” if it works and “not solution” if it doesn’t.

Question

y=4x + 2; (2,10)

2x + y = 5; (7, 5)

Answer 1

To determine whether the ordered pairs are solutions of the equations, we will substitute the values of \(x\) and \(y\) into the respective equations.

1. For the equation \(y = 4x + 2\) with the ordered pair (2, 10):

   • Substitute \(x = 2\): \[ y = 4(2) + 2 = 8 + 2 = 10 \] Since this equals \(y\) (which is also 10), the ordered pair (2, 10) is a solution.

2. For the equation \(2x + y = 5\) with the ordered pair (7, 5):

   • Substitute \(x = 7\) and \(y = 5\): \[ 2(7) + 5 = 14 + 5 = 19 \] Since this does not equal 5, the ordered pair (7, 5) is not a solution.

In summary:

• For the first equation with the pair (2, 10): solution
• For the second equation with the pair (7, 5): not solution