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:
Perimeter = 70ft
Step-by-step explanation:
Area of a rectangle is:
area = (length * width)
150 = a * b
a = 6b
a = length
b = width
then:
150 = 6b*b
150 = 6b²
b² = 150/6
b² = 25
√b² = √25
b = 5ft
a = 6b
a = 6*5
a = 30ft
then:
perimeter of a rectangle is:
p = 2(a+b)
p = 2(30 + 5)
p = 2*35
p = 70ft
Answer:
1) x²+4x=2700
2) 50x50
Step-by-step explanation:
Pony area = x²
line-up area=4x
x²+4x=2700
x²+4x-2700=0
(x-50)(x+54)
So x= 50 or -54. Since it can’t be a negative number, it must be 50.
CHECK:
Square = 50x50 = 2500
Line up area = 50x4 = 200
2500+200=2700 YES
The tools couldn't have made the proper measurments
1920$
Step by step explanation: