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Chapter 6: Q10. (page 331)

Solve each equation or formula for the variable specified.

y=mx+b, for x

Short Answer

Expert verified

The required equation is represented byx=y鈭�b.

Step by step solution

01

Step 1. Determine the method that can be used.

Isolation of x on any side of the equation will represent the required equation and to get this, perform some operations on the provided equation.

02

Step 2. Take the help of the obtained method.

Perform subtraction of bon both sides of the provided equation.

y鈭�b=mx+b鈭�by鈭�b=mx

Perform division of m on both sides of the obtained equation.

localid="1647503235012" y鈭�bm=mxmy鈭�b=x

03

Step 3. Write the conclusion.

The obtained isx=y鈭�b so it is required equation.

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Most popular questions from this chapter

Graph each system and determine the number of solutions that it has. If it has one solution, name it.

x+y=83x+3y=24

Use substitution method to solve the system of equations below. y=4x鈭�73x鈭�2y=鈭�1

F (3,5) G (4,鈭�1) H (5,鈭�2) J (鈭�6,2)

Use substitution to solve each system of equations.

x鈭�y=8y=鈭�3x

Use elimination to solve each system of equations.

鈭�7x+3y=122x鈭�8y=鈭�32

The cost of two groups going to an amusement park is shown in the table.

Group
Total Cost
4adults,2children
\(184
localid="1647549424859" 4adults,localid="1647549450994" 3children
\)200

a. Define variables to represent the cost of an adult ticket and the cost of a child ticket.

b. Write a system of equations to find the cost of an adult ticket and the cost of a child ticket.

c. Solve the systems of equations, and explain what the solution means.

d. How much will a group of 3 adults and 5 children be charged for admission?
See all solutions

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