Solving Linear Expressions with Substitution

A method of solving a system of linear equations by substituting one equation into another to find the values of the variables.

• Substitution

• Elimination

• Inequality

• Linear Function

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

An equation in which the highest power of the variable (usually represented as 'x') is 1. It has the form ax + b = c, where 'a,' 'b,' and 'c' are constants.

• Linear Equation

• Variable

• Coefficient

• Constant

A set of two or more linear equations with the same variables that are solved together to find a common solution.

• Inequality

• No Solution

• System of Linear Equations

• Infinite Solutions

Tags

CCSS.8.EE.C.8B

The number that is multiplied by a variable in a linear equation.

• Linear Equation

• Variable

• Coefficient

• Constant

Tags

CCSS.6.EE.A.2B

Solve the system of linear equations by substitution.

-5x + 3y = 51

y = 10x - 8​

​ ​ ​ (a)   ​ (b)  

• y = -22

• x = -3

• x = 59/25

• y = 15.6

• x = 3

• y = 22

• x = -8

• y = 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of linear equations by substitution.

5x + 2y = 9

x + y = -3

​ ​ ​ (a)   ​ (b)  

• y = -22

• x = -3

• x = 1

• y = -4

• x = 5

• y = -8

• x = -8

• y = 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

solve by substitution: y=3x+14
y=-4x

• y=3

• y=1

• y= - 2

• y=4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

• (3,-9)

• (-3,-9)

• (-3,9)

• (0,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of linear equations by substitution.

• y = -22

• x = -3

• x = 59/25

• y = 15.6

• x = 3

• y = 22

• x = -8

• y = 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The process of solving a system of equations in which one equation is solved for one variable in terms of the other is called __________.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6