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Which shows the result of a correct substitution for the system y=2x+3 and 3x+2y=9?
Question
Which shows the result of a correct substitution for the system y=2x+3 and 3x+2y=9?
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Mathematics
1 year
2021-08-14T15:16:14+00:00
2021-08-14T15:16:14+00:00 1 Answers
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Answer:
The result of the correct substitution gives:
x = 3/7 and y = 27/7
Step-by-step explanation:
From the given information:
y = 2x + 3 —- (1)
3x + 2y = 9 —- (2)
By using substitutional method
Substitute the value of y = 2x +3 into equation (2)
So,
3x + 2(2x + 3) = 9
3x + 4x + 6 = 9
7x = 9 – 6
7x = 3
x = 3/7
From equation (1), let replace the value of x to be 3/7
So,
y = 2x + 3
y = 2(3/7) + 3
y = 6/7 + 3
y = 27/7