Answer: x=4
Step-by-step explanation:
14=4x-2
4x=16
x=4
Answer:
y=-3/2x-2
Step-by-step explanation:
first, we must calculate the slope (m) using the equation (y2-y1)/(x2-x1)
here are the given points: (0,-2) and (-4,4)
we can label the points:
x1=0
y1=-2
x2=-4
y2=4
now substitute into the equation:
m=(4--2)/(-4-0)
m=(4+2)/-4
m=6/-4
m=3/-2
m=-3/2
the slope of the line is -3/2
now use the point-slope form, which is y-y1=m(x-x1)
substitute the given numbers into the equation
y--2=-3/2(x-0)
do distributive prop.
y+2=-3/2x
subtract 2 from both sides
y=-3/2x-2
Simplifying
75 + -3.5y + -4y = 4y + 6
Combine like terms: -3.5y + -4y = -7.5y
75 + -7.5y = 4y + 6
Reorder the terms:
75 + -7.5y = 6 + 4y
Solving
75 + -7.5y = 6 + 4y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-4y' to each side of the equation.
75 + -7.5y + -4y = 6 + 4y + -4y
Combine like terms: -7.5y + -4y = -11.5y
75 + -11.5y = 6 + 4y + -4y
Combine like terms: 4y + -4y = 0
75 + -11.5y = 6 + 0
75 + -11.5y = 6
Add '-75' to each side of the equation.
75 + -75 + -11.5y = 6 + -75
Combine like terms: 75 + -75 = 0
0 + -11.5y = 6 + -75
-11.5y = 6 + -75
Combine like terms: 6 + -75 = -69
-11.5y = -69
Divide each side by '-11.5'.
y = 6
