<span>4x + 3y = 12
-2x - 5y = 1
multiply bottom by 2
</span><span>4x + 3y = 12
-4x - 10y = 2
add both equations
-7y = 14
divide by 7
y = -2
plug into first equation
4x + 3(-2) = 12
solve for x
4x = 18
x = 4.5
</span>
Answer:
Width=13cm
Length=18cm
Step-by-step explanation:
Width of the Initial Photograph=9cm
Length of the Initial Photograph=14cm
If width and length are increased by an equal amount, say x
New Width=9+x
New Length=14+x
Area of the new photo is 108 square centimeters greater than the area of the original photo.
Area of Original Photo=14*9=126cm²
Aeea of the New Photo=126+108=234cm²
Therefore:
(9+x)(14+x)=234
126+9x+14x+x²-234=0
x²+23x-108=0
x²+27x-4x-108=0
x(x+27)-4(x+27)=0
(x+27)(x-4)=0
x+27=0 or x-4=0
x=-27 or x=4
Since x≠-27
x=4cm
The dimensions of the new photo are:
Width=9+x=9+4=13cm
Length=14+x=14+4=18cm
The answer would be C because you would do 60 x 25 which would give you 1,500
5x+14
You will collect the like terms
Rewrite the equation into slope intercept form:
8y = -5x+16
divide everything by 8 to get just y
y = -5/8x+2
the slope = -5/8