Answer:
Option C: (5/4)x - 2 = (3/2)x - 4
Step-by-step explanation:
A) (5/2)x + (7/2) = (3/4)x + 14
Multiply through by 4 to get;
10x + 14 = 3x + 56
10x - 3x = 56 - 14
7x = 42
x = 42/7
x = 6
B) (5/4)x - 9 = (3/2)x - 12
Multiply through by 4 to get;
5x - 36 = 6x - 48
6x - 5x = 48 - 36
x = 12
C) (5/4)x - 2 = (3/2)x - 4
Multiply through by 4 to get;
5x - 8 = 6x - 16
6x - 5x = 16 - 8
x = 8
D) (5/2)x - 7 = (3/4)x + 14
Multiply through by 4 to get;
10x - 28 = 3x + 56
10x - 3x = 56 + 28
7x = 84
x = 84/7
x = 12
Answer:
x=1+/-4i
Step-by-step explanation:
(x+1)/3-(2x-1)/x=-1
find the common denominator,
in this case, it's going to be 3x.
(x^2+x)/3x-(6x-3)/3x=-1
(x^2+x-6x+3)/3x=-1
x^2-5x+3=-3x
x^2-5x-(-3x)+3=0
x^2-5x+3x+3=0
x^2-2x+3=0
apply the quadratic formula in order to find the roots for x.
Since ax^2+bx+c=0, in this case,
a=1, b=-2, c=3
--------------------------
x=(-b+/-sqrt(b^2-4ac))/2a
x=(2+/-sqrt(4-12))/2
x=(2+/-8i)/2
x=1+/-4i
First of all, this is an expression, since it is not set equal to anything; therefore, you can't solve it.
However, you can simplify it.
The simplified expression would be
x+5y+10
Hope this helps!
Answer:
y = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 1,2) and (x₂, y₂ ) = (4, y)
m = 
, hence
= - 
( cross- multiply )
5(y - 2) = - 20 ( divide both sides by 5 )
y - 2 = - 4 ( add 2 to both sides )
y = - 2
coordinates of point are (4, - 2)
A) (0.4,1)
y=y
-5x+3=1
-5x=-2
x=2/5 or 0.4
