Linear Equations
Write the equation of the line described below in slope-intercept form.
Find the equation of the line that is perpendicular to the line
y=-x-6
and passes through the point (5,1).
y=x-4
Simplifying Rational Expressions
(x^2-7x-30)/(x^2-5x-24)
(x-10)/(x-8)
Simplifying Rational Exponents
(27x^6)^(5/3)
243x^10
Solve the equation
y=-x
2x+y=3
x=3; y=-3
Solve
2^(x − 1) = 2^(2 x − 4)
x=3
Write the equation of the line described below in slope-intercept form.
Find the equation of the line that is parallel to the line
y=−x+7
and passes through the point (−2,8). Write the equation in slope-intercept form.
y=-x+6
Simplify the expression
(27x-45)/(-9x^2+27x-20) (30x^3-40x^2)/(9x-27)
(-10x^2)/(x-3)
Simplifying Rational Exponents
(25x^6)^(-1.5)
1/(125x^9)
Solve the equation
y=-5
y=x^2-2x-3
No solution
Solve an Equation
4e^(2x)+5=13
x=0.6931
Find the value of "r" so that the line through (1, 4) and (-5, r) has a slope of
1/3
r=2
Simplify the expression
6/(7x^2-18x-9)/(3x)/(21x^2+9x)
6/(x-3)
Simplifying Rational Exponents
(4x^2)/(2x^(1/2))
2x^(3/2)
Solve this linear-quadratic system of equations
y=x^2-6x+3 and 2x-y=13
(4, -5)
Solve for x in the equation
ln(x-3)+ln(x-2)=ln(2x+24)
x=9
Write an equation for the line passes through (5, -6) and is perpendicular to the y-axis.
y=-6
Simplify the expression
6/(x-4)-(6x)/(x-6)
(-6x^2+30x-36)/((x-4)(x-6))
Simplifying Rational Exponents
(4x^3)(x^(-5/3))
4x^(4/3)
Solve the equation
4x+2y=10
x−y=13
x=6; y=-7
Solve. Give the exact and approximate answer rounded to four decimal places.
2^(3x+1)−4=1
x=0.4406
Write an equation for the line has undefined slope and contains the origin.
x=0
Simplify the expression
(5x)/(3x)-(x+3)/((3x-12)
(4x-23)/(3(x-4))
Solve the equation.
(5x)^(3/2)+10=135
x=5
Solve the system
− x − 5 y − 5 z = 2
4 x − 5 y + 4 z = 19
x + 5 y − z = −20
x=-2, y=-3, z=3
Solve the equation
log(2x−5)−log(x−2)=0.
x=3