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

Question

3 years ago

4

, 25). Is he correct? Explain how to check if his solution is correct without using a graph.

2 answers:

posledela · Answer 1 · 2022-08-26T03:05:12+03:00

posledela3 years ago

6 0

Answer:

his answer isn't correct

Step-by-step explanation:

we must subtract this equations from each other

x + y = 92

-3x + y = -4

4x = 96

x = 24 "not 67"

then we replace x by the value of it "24"

24 + y = 92

y = 92-24

y = 68 "not 25"

.. ..

Setler [38] · Answer 2 · 2022-08-26T01:14:42+03:00

Answer:

Jorge is wrong

Step-by-step explanation:

We can check if his solution is correct by plugging in the answer into the equations in the system.

x + y = 92

67 + 25 = 92

92 = 92

y = 3x - 4

25 = 3(67) - 4

25 $\neq$ 197

So, Jorge is wrong because his solution makes one of the equations false.