Answer:
{x,y} = {-2,-3}
Step-by-step explanation:
System of Linear Equations entered :
[1] -9x + 4y = 6
[2] 9x + 5y = -33
Graphic Representation of the Equations :
4y - 9x = 6 5y + 9x = -33
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 5y = -9x - 33
[2] y = -9x/5 - 33/5
// Plug this in for variable y in equation [1]
[1] -9x + 4•(-9x/5-33/5) = 6
[1] -81x/5 = 162/5
[1] -81x = 162
// Solve equation [1] for the variable x
[1] 81x = - 162
[1] x = - 2
// By now we know this much :
x = -2
y = -9x/5-33/5
// Use the x value to solve for y
y = -(9/5)(-2)-33/5 = -3
Answer:
B)no
Step-by-step explanation:
the correct solution is (3,12)
To start off, Chang has already saved $45. $125 - $45 = $80. Therefore, he owes $80. $80 ÷ 7 = 11.4285714286, so he needs to work 12 full hours to pay for his trip.
Explicit formulas for arithmetic sequences are derived from terms in arithmetic sequences. It helps to find each term in arithmetic progression easily. The arithmetic progression is a1, a2, a3, ..., an. where the first term is denoted as 'a', we have a = a1, and the tolerance is denoted as 'd'. The tolerance formula is d = a2 - a1 = a3 - a2 = an - an - 1. The nth term of the arithmetic progression represents the explicit formula for the arithmetic progression.
Explicit formula: an= a + (n − 1) d
Explicit formula: Sn = n/2 [2a+(n-1) d]
Where,
nth term in the arithmetic sequence
a = first term in the arithmetic sequence
d = difference (each term and its term difference) previous term, i.e., d = an-an-1
More problems related to a similar concept are solved in the link below.
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Answer:
x = 9
Step-by-step explanation:
Sum of a triangle is 180°.
6x + 1 + 6x - 14 + 9x + 4 = 180°
Arrange the like terms together and simply this equation.
6x + 6x + 9x + 1 + 4 - 14 = 180°
21x - 9 = 180°
Shifting '-9' to the other side of the equation gives you '+9'
21x = 180° + 9
21x = 189
Shifting 21 to the other side of the equation (to get x) makes it ÷21 (multiply)
x = 189 ÷ 21
x = 9
