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Which shows the result of a correct substitution for the system y=2x+3 and 3x+2y=9?

User Kanjie Lu
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1 Answer

4 votes

Answer:

The result of the correct substitution gives:

x = 3/7 and y = 27/7

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

User Ivan Vinogradov
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4.9k points