x varies jointly as z and the sum of y and w.Write an equation that expresses the relationship. Then solve the equation for y.

Q: The value of y is 5 more than x. Represent this relationship using an equation. y +5 x yx+ 5

A: (1) for y+5=xPut some random values 1,2,3 of x  we  get that when x=1y=-4When x=2y=-3in this case y…

Q: 3) x- y= 11 2.x + y = 19 %3D

A: Given:  x-y=112x+y=19 To Find:  To solve for x and y.

Q: xy' = y + xe/x

A:

Q: Write an equation describing the relationship of the given variables. y varies jointly as the square…

A: From the given information, the general formula for joint variation is

Q: Solve:  Diferential equation xy'+y=14x

A:

Q: WE DO:Step 1: Solve one equation for one variable. x + y = 10 5x – y = 2

A: Given equations are  x+y=10 5x-y=2 solve it

Q: x varies directly as z and inversely as the sum of y and w.Write an equation that expresses the…

A:

Q: The distance that Sarah travels varies directly to how long she drives. She travels 440 miles in 8…

A:

Q: The distance a moving body travels, d, varies directly with time, t, it moves. A train travels 100…

A: Explanation: According to the question: a. Write the equation that relates d and t.  d=kthere, k is…

Q: Write an equation that relates the variables y and u.?

A:

Q: Find an equation of variation where y varies jointly as x and the square of z, and where y = 105…

A: y varies jointly as x and the square of z, and where y=105 when x=55 and z=7

Q: The solution of the equation y" + 10 y' + 25 y =0 which satisfies y(0) = 4 and y'(0) = 0 is

A: Given,            y" + 10y' + 25y =0,   y(0) = 4 and y'(0) =0

Q: Find the value of the variable x and y.

A: ∆ABC is a right angle triangle. The length of the side AB= 5 units. The length of the side BC=7…

Q: Solve the equation for x and y x+v=300 5x+8y=2100

A: Given query is to find the solution of the system of equations

Q: Solve the equation f"(x) = 0

A: It is given that,   f(x)=x3-12x2+36x-36       .......(1)By second derivative of equation (1), we get…

Q: solve the equation below using variation of parameters y" + y' = x

A: The given differential equation is y''+y'=x the auxiliary equation is  D2+D=0DD+1=0D=0, D=-1 The…

Q: For each equation, solve for each variable in terms of the other variables. For example: z = xy: x =…

A: We need to solve for each variable in terms of other variables in the given equations.

Q: x +y 48. 2-a = b, for y

A: Solve for y x+yz-a=b

Q: The amount of simple interest earned, n, varies directly as the rate of interest, r, and the number…

A: Given:  The interest 'I' earned is proportional to time 't' and simple rate of interest 'r'.   I =…

Q: For each equation, solve for each variable in terms of the other variables. y=z/x For example: z =…

A:

Q: . Solve the equation xy' + y = x*y³.

A: First we convert the given Bernoulli equation into  the linear equation, and then we find the…

Q: Solve the equation for g. y = gx +d ..... g=

A:

Q: Find the equation of OP. y P

A: Observe the given figure, In the given circle the center is P,  coordinates of P is (0,3)  Distance…

Q: Set up an equation and then solve for the missing variable for the following: If y varies directly…

A: Given y directly proportional to x

Q: solve the equation x Inx.y'+y=2 Inx

A:

Q: Solve. If v varies directly as w and  v = 7  when  w = 1/2,   find the equation that relates v and…

A: Given,            v varies directly as w and  v=7  when  w=12 .

Q: Hector consumed 345 calories after drinking 3 sodas. The amount of calories he drinks is…

A: We have an equation y = rx, where y is the calories consumed,  and x is the number of sodas. We have…

Q: Solve the equation for y.

A: We are solving the first three questions and for the next questions post the question againand also…

Q: write an equation describingthe relationship of the given variables  a) y varies jointly as x and…

A:

Q: Solve the equations and find the value of x,y and z  x-3y-z=0 x-2y+z=8 2x-6y+z=6

A:

Q: The variable y varies directly with the square of x. If y = 100 when x = -5, then the equation…

A:

Q: Given the following equation, find the value of y when x=4. y=−3x+15 Give just a number as your…

A: Introduction: The given regression equation is: y = –3x + 15.

Q: solve each equation for the indicated variable. ( y + 1)(a - 3) = x - 2 for y

A: Given equation is y+1a-3=x-2. To solve the equation for variable for y. Solution: Equation is…

Q: Given the equation y = -4x + 1, find the value of y if x = 5

A: Given,           The equation is y=-4x+1.

Q: solve each equation for the indicated variable. ( y - 2)(a + 1) = x for y

A: We have to solve the equation for the indicated variable where equation is given as: y-2a+1=x and…

Q: solve each equation for the indicated variable. x/a + y/b = 1 for y

A: We have to solve the equation for variable y where equation is given as: xa+yb=1 Rewriting the…

Q: Solve the equation below for y. x + y = - 5

A: Given equation is. X + Y = -5 We can manipulate above equation for y.

Q: The number of hours it takes for ice to melt varies inversely with the air temperature. Suppose a…

A: Given,           The number of hours it takes for ice to melt varies inversely with the air…

Q: Translate the given statement into a linear equation in the form ax + by = c using the indicated…

A:

Q: solve equation y''' - ( y'' / x ) = 0

A:

Q: Find the values of x and y that makes the equation true: 2x-7+(3-y)i = -4+6i

A:

Q: The number of calories, c, burned varies directly with the amount of time, t, spent exercising.…

A:

Q: The value of y varies directly as x and the square of z, and y = 90 when x = 5 and z = 3. Find the…

A:

Q: variable. y − b x = m   for y

A:

Q: An​ alligator's tail​ length, T, varies directly as its body​ length, B. An alligator with a body…

A: An​ alligator\'s tail​ length, T, varies directly as its body​ length, B can algebraically written…

Q: Given the following equation, find the value of y when x=2. y=−4x+12 Give just a number as your…

A: Given, The equation is,  y = -4x + 12

Q: solve each equation for the indicated variable. (y - 1)/(x - 3) = (b - 1)/(a - 3) for y

A: The given equation is y-1x-3=b-1a-3

Q: IZ – yzy + z = x

A: In this question, we solve the partial differential equation by using Lagrange form the PDE is x.Zx…

Q: Given the following equation, find the value of y when x=5. y=−2x+18 Give just a number as your…

A: An equation for a straight line is called a linear equation. The general representation of the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.