The system of equations are x+ y =16 and 2y=x.
<h3>What is Algebra?</h3>
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions
let the two points shots be x
let the three points shots be y.
According to question,
x+ y =16
and,
2y=x
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Solving the system we get, x= -1, y= -2 and z= 0
Step-by-step explanation:
Solving the equations to find x, y and z

Adding eq(1) and eq(2)

Adding eq(2) and eq(3)

Multiplying eq(4) by 3 and eq(5) by 2

So, value of z =0
Putting value of z in eq(4)

So, value of x = -1
Now putting value of z=0 and x =-1 in equation 1

So, value of y = -2
So, solving the system we get, x= -1, y= -2 and z= 0
Keywords: Solve the system
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Answer:
5, 9, 13, 17, 21, .....
Step-by-step explanation:
To generate the sequence, substitute n = 1, 2, 3, 4, ..... into the rule
a₁ = 4(1) + 1 = 4 + 1 = 5
a₂ = 4(2) + 1 = 8 + 1 = 9
a₃ = 4(3) + 1 = 12 + 1 = 13
a₄ = 4(4) + 1 = 16 + 1 = 17
a₅ = 4(5) + 1 = 20 + 1 = 21
So we see that the ratio between the two octagons is 7:1, since 28/4=7 so what we do next is multiply the values of the smaller octagon by 7. But that’s the long way. There’s actually a shortcut by multiplying the perimeter of the smaller octagon, 34, by 7. This in turn equals 238.