2x+y=9
3x+5y=19
I will do this problem in 2 ways. I.)Substitution II.)Elimination
Solution I.) Substitution
We can subtract 2x from both sides in the first equation.
y=9-2x
Now we can substitute the y in the second equation with 9-2x
3x+5(9-2x)=19
-7x+45=19
-7x=-26
x=26/7
y=9-2(26/7)=11/7
Solution II.)Elimination
We can multiply both side of first equation by 5 to get a 5y in both equations.
10x+5y=45
Now because both are positive 5y we just need to do simple subtraction of the 2 equation, each side respectively.
(10x+5y)-(3x+5y)=45-19
7x=26
x=26/7
2*26/7+y=9
y=11/7
Ultimately you get the same answer, both are viable methods, some problems are faster with one method but I recommend mastering both since they are very useful.
Answer: the price of 1 yard of chicken wire is $2
Step-by-step explanation:
Let x represent the cost of one yard of landscaping fabric.
Let y represent the cost of one yard of chicken wire.
Charlotte pays $24 for 3 yards of landscaping fabric and 6 yards of chicken wire. This means that
3x + 6y = 24 - - - - - - - - - - 1
Kami pays $30 for 6 yards of landscaping fabric and 3 yards of chicken wire. This means that
6x + 3y = 30 - - - - - - - - -2
Multiplying equation 1 by 6 and equation 2 by 3, it becomes
18x + 36y = 144
18x + 9y = 90
Subtracting
27y = 54
y = 54/27 = 2
Substituting y = 2 into equation 1, it becomes
3x + 6×2 = 24
3x = 24 - 12 = 12
x = 12/3 = 4
Answer:
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Step-by-step explanation:
yeah
