-2x-6y=8 and -6x-6y=0
2 answers:
Answer:
Assume we want to find the solution to this system of equations.
The solution is<u> (2,-2)</u>
Step-by-step explanation:
We can find the solution either mathematically or by graphing. I'll do both.
<u>Math:</u>
Rearrange:
-2x-6y=8
-6y=8 +2x
y = -(1/3)x -(4/3)
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Now use this expression of y in the second equation:
-6x-6y=0
-6x-6(-(1/3)x -(4/3)) =0
-6x + 2x +8 =0
-4x = - 8
x = 2
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Use x = 2 in the first equation to find y:
y = -(1/3)x -(4/3)
y = -(1/3)*(2) -(4/3)
y = -(2/3) -(4/3)
y = -(6/3) or -2
The solution is (2,-2)
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<u>Graphing:</u>
See attached graph.
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Answer:
a) the area of a square is in terms of x is
centimeter square
b)The length of the rectangle is l = (x+1)
l = 7+1 =8 cm
The width of the rectangle is w = [(x+1)-5]
w = (7+1)-5 =3 cm
Step-by-step explanation:
a) the area of a square is in terms of x is
area of square is
=
b) Given length is l = (x+1) cm and
the width is 5 cm less than its length.
so we have take width is w = (x+1)-5 cm
Given area of triangle is 24 cm
Area of rectangle = length X width
24 = (x+1)(x+1 -5 )
now simplification
apply (a+b)^2 = a^2+2 a b+b^2
now find factors of 28 = 7 X 4 is
x = -4 and x=7
there fore you have to choose x = 7
The length of the rectangle is l = (x+1)
l = 7+1 =8
The width of the rectangle is w = [(x+1)-5]
w = (7+1)-5 = 3
<u>Verification:-</u>
Given area of rectangle = 24 = 8 X 3
24 =24
so we can not choose x=-4
we have to choose x =7 only