Systems of Equations - Substitution Guided Notes

What is the first step in solving systems of equations using substitution?

• Solve one of the equations for one variable

• Graph the equations

• Combine like terms

• Substitute one equation into the other

After substituting and solving for one variable, what is the next step?

• Check the solution in both equations

• Solve for the second variable

• Substitute the found value into the original equation

• Graph the solution on a coordinate plane

In the first system of equations, what value is found for x?

• -1

• 1

• 6

• -6

How do you solve for y in the second system of equations?

• Graph both equations and find the intersection

• Substitute x=4 into the second equation

• Substitute y into the first equation

• Substitute x=4 into the first equation

What does a solution of 'no solution' indicate about the system of equations?

• The lines overlap

• The lines are parallel

• The system has infinite solutions

• The lines intersect at one point

For the fourth system, what is the value of y when x is substituted as -1?

• 1

• 2

• -1

• -2

What indicates that a system of equations has infinite solutions?

• The equations are identical

• The variables cancel out leaving a false statement

• You get a specific value for x and y

• The variables cancel out leaving a true statement

What is the result when solving a system of equations and you find that 0=0?

• Infinite solutions

• Two solutions

• One solution

• No solution

In the sixth system, what is the final value of x found?

• -2.75

• 1.75

• -1

• 6

What does the equation x = -2.5y + 3.5 represent in the context of solving systems by substitution?

• The combined form of both equations

• The value of x isolated for substitution

• The graphical intersection of the lines

• The final solution of the system