Question

Jorge used a graph to determine a solution to the following system of equations: x + y = 92 and y = 3x – 4 Jorge’s answer is (67, 25). Is he correct? Explain how to check if his solution is correct without using a graph.

Answer 1

To check the answer, sub in 67 for x and 25 for y in both equations...because for it to be a solution, it has to satisfy both of the equations.

(67,25)...x = 67 and y = 25

x + y = 92
67 + 25 = 92
92 = 92 (correct)

y = 3x - 4
25 = 3(67) - 4
25 = 201 - 4
25 = 197 (incorrect)

so (67,25) is NOT a solution to this system of equations because it does not satisfy both of the equations

Answer 2

Answer:

Jorge’s solution is incorrect. When 67 is substituted for x and 25 is substituted for y, the second equation is false: 25 is not equal to

3(67) – 4. The correct solution is (24, 68).

Step-by-step explanation: