Step-by-step explanation:
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<h3>6 is a solution to equation 6x + 5 = 12 + 5x</h3>
<em><u>Solution:</u></em>
<em><u>Given equation is:</u></em>
6x + 5 = 12 + 5x
Try the numbers 4, 5, 6, 7 in the equation to test whether any of them is a solution
<em><u>Substitute x = 4</u></em>
6(4) + 5 = 12 + 5(4)
24 +5 = 12 + 20

Thus 4 is not a solution
<em><u>Substitute x = 5</u></em>
6(5) + 5 = 12 + 5(5)
30 + 5 = 12 + 25

Thus 5 is not a solution
<em><u>Substitute x = 6</u></em>
6(6) + 5 = 12 + 5(6)
36 + 5 = 12 + 30

Thus 6 is not a solution
<em><u>Substitute x = 7</u></em>
6(7) + 5 = 12 + 5(7)
42 + 5 = 12 + 35
47 = 47
Thus 6 is a solution
A point is written using the form (X,Y), so the first number is the X and the second number is the Y.
Replace x and Y in the given equation with the given point:
y ≤ 3x+1
9 ≤ 3(2) +1
9 ≤ 6 +1
9 ≤ 7
9 is not less than or equal to 7, so the point (2,9) does not satisfy the inequality.
Answer: 11x-36
Step-by-step explanation:
The answer is C
By the way, that expression means "n choose k". Hope I helped!