Question

Is (22, 11) a solution to the following

system of equations: y 5 2x 2 5,
y 5 4x 2 3? Explain.

Answer 1

Explanation:

• Yes, (22, 11) is a solution to the given system of equations. To check if a given point is a solution to a system of equations, we can substitute the values of the point into the equations and see if they are satisfied. For example, we can substitute 22 for x and 11 for y in both equations and see if they hold true. For the first equation, we get:

11 = 5 * 2 * 22 + 2 * 5

11 = 110 + 10

11 = 120

• Since 11 does indeed equal 120, the first equation is satisfied. Similarly, for the second equation, we get:

11 = 5 * 4 * 22 + 2 * 3

11 = 440 + 6

11 = 446

• 11 does indeed equal 446, so the second equation is also satisfied. Since both equations are satisfied, we can conclude that (22, 11) is a solution to the given system of equations.
  

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