First, make sure that all the variables are in one side. The first equation is gonna be x-y=3
Second, we are going to eliminate the y because it is much easier, but you can also eliminate the x
We have to add both equation because the y in the first equation is negative and in the second equation it’s positive.
We are left with 3x=9
Therefore, x=3
Last, substitute x= 3 in one of the equations
Y=6
P.O.I is (3,6)
Answer:
Step-by-step explanation:
Find the sum of the first 42 terms of the following series, to the nearest integer.
2,7,12
Solution
The sum is given by
SUM_n=n/2*(a_1+a_n)
a_n=a_1+(n-1)d
a_1=2, n=42, d=5
The 42nd term is therefore given by
a_42=2+(42-1)5=207
SUM_42=42/2*(2+207)=21*209=4389
The sum of the first 42 terms of the series, therefore, is 4389
Answer:
A lily costs $7 and a geranium $4.
Step-by-step explanation:
From the question, we can write two equations. let the number of lilies be l and the number of geraniums be g, then:
5
g
+
4
l
=
48
4
g
+
6
l
=
58
Multiply the first equation by 4 and the second by 5, the number of lilies in the other gives:
20
g
+
16
l
=
192
20
g
+
30
l
=
290
Subtract the first equation from the second gives:
14
l
=
98 which dividing by 14 gives l
=
7
Substituting the value l
=
7 in the first equation gives:
5
g
+
28
=
48
Subtract 20 from both sides gives:
5
g
=
20 divide by 5 gives g
=
4
So, a lily costs $7 and a geranium costs $4.
Answer:
27.5 inches^2
Step-by-step explanation:
Area of a triangle =
Plugging in the equation,
Step-by-step explanation:
Explanation is in the attachment
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