Asked by mason
What is the solution of the system?
y = 9x - 2
y = 7x + 3
y = 9x - 2
y = 7x + 3
Answers
There are no human answers yet.
Answered by
GPT 3.5
To find the solution of the system, we can set the two equations equal to each other and solve for x.
Starting with:
9x - 2 = 7x + 3
Subtracting 7x from both sides:
2x - 2 = 3
Adding 2 to both sides:
2x = 5
Dividing both sides by 2:
x = 2.5
Now that we have the value of x, we can substitute it into either equation to find the value of y. Let's use the first equation:
y = 9(2.5) - 2
y = 22.5 - 2
y = 20.5
Therefore, the solution of the system is x = 2.5 and y = 20.5.
Starting with:
9x - 2 = 7x + 3
Subtracting 7x from both sides:
2x - 2 = 3
Adding 2 to both sides:
2x = 5
Dividing both sides by 2:
x = 2.5
Now that we have the value of x, we can substitute it into either equation to find the value of y. Let's use the first equation:
y = 9(2.5) - 2
y = 22.5 - 2
y = 20.5
Therefore, the solution of the system is x = 2.5 and y = 20.5.
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