find four solutions for the equation 2x + 3y = 12
Answers
1) x=0
y=4
2)x=6
y=0
3)x=3
y=2
Answer:
Therefore, four solutions for the equation 2x + 3y = 12 are (0, 4), (1, 10/3), (2, 8/3), and (3, 2).
Step-by-step explanation:
To find four solutions for the equation 2x + 3y = 12, we can use a trial-and-error method.
First, we can pick a value for x, and then solve for y:
When x = 0:
2(0) + 3y = 12
3y = 12
y = 4
One solution is (0, 4).
When x = 1:
2(1) + 3y = 12
3y = 10
y = 10/3
Another solution is (1, 10/3) or (1, 3.33) rounded to two decimal places.
When x = 2:
2(2) + 3y = 12
3y = 8
y = 8/3
A third solution is (2, 8/3) or (2, 2.67) rounded to two decimal places.
When x = 3:
2(3) + 3y = 12
3y = 6
y = 2
A fourth solution is (3, 2).
Therefore, four solutions for the equation 2x + 3y = 12 are (0, 4), (1, 10/3), (2, 8/3), and (3, 2).
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