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If (8t ,5t- 6)is a solution of the linear equation 7x+9y=47 , find the value of t.?
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If (8t ,5t- 6)is a solution of the linear equation 7x+9y=47 , find the...
Given:
The point (8t, 5t - 6) is a solution of the linear equation 7x + 9y = 47.

To Find:
The value of t.

Explanation:

Substitute the given point into the equation:
We substitute the given point (8t, 5t - 6) into the equation 7x + 9y = 47:
7(8t) + 9(5t - 6) = 47
56t + 45t - 54 = 47
101t - 54 = 47
101t = 101
t = 1

Therefore, the value of t is 1.

Explanation:
The given point satisfies the equation 7x + 9y = 47 when t = 1. This means that when t is substituted with 1, the point (8, -1) lies on the line represented by the equation. Hence, the value of t is 1.
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If (8t ,5t- 6)is a solution of the linear equation 7x+9y=47 , find the value of t.?
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