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Find three pairs of coordinates for 6x+10y and 3x+5y​

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Sure! Here are three pairs of coordinates for the expressions 6x + 10y and 3x + 5y:

Pair 1:
Let's set x = 1.
For 6x + 10y, when x = 1, the expression becomes 6(1) + 10y = 6 + 10y.
Let's set y = 2.
Substituting y = 2, we have 6 + 10(2) = 6 + 20 = 26.
So, the coordinates for 6x + 10y are (1, 2) and the value is 26.
For 3x + 5y, when x = 1, the expression becomes 3(1) + 5y = 3 + 5y.
Substituting y = 2, we have 3 + 5(2) = 3 + 10 = 13.
So, the coordinates for 3x + 5y are (1, 2) and the value is 13.

Pair 2:
Let's set x = -2.
For 6x + 10y, when x = -2, the expression becomes 6(-2) + 10y = -12 + 10y.
Let's set y = 4.
Substituting y = 4, we have -12 + 10(4) = -12 + 40 = 28.
So, the coordinates for 6x + 10y are (-2, 4) and the value is 28.
For 3x + 5y, when x = -2, the expression becomes 3(-2) + 5y = -6 + 5y.
Substituting y = 4, we have -6 + 5(4) = -6 + 20 = 14.
So, the coordinates for 3x + 5y are (-2, 4) and the value is 14.

Pair 3:
Let's set x = 3.
For 6x + 10y, when x = 3, the expression becomes 6(3) + 10y = 18 + 10y.
Let's set y = -1.
Substituting y = -1, we have 18 + 10(-1) = 18 - 10 = 8.
So, the coordinates for 6x + 10y are (3, -1) and the value is 8.
For 3x + 5y, when x = 3, the expression becomes 3(3) + 5y = 9 + 5y.
Substituting y = -1, we have 9 + 5(-1) = 9 - 5 = 4.
So, the coordinates for 3x + 5y are (3, -1) and the value is 4.

I have provided three pairs of coordinates and their respective values for both 6x + 10y and 3x + 5y. Let me know if there's anything else I can help you with!
answered
User Kalpak Gadre
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