Math question: 1. Adding the equations in a system of equations can sometimes be helpful in solving a system of
equations. Explain why:
2. Identify the systems for which adding the equations eliminates a variable. For those equations,
identify the variable that is eliminated.
System of equations Will adding the equations eliminate a variable? If so, which variable?
2y + 4x = 22
–2y + 4x = 18
Yes, y
2y + 4x = 22
2y + x = 18
??
2y – 4x = –2
y + 4x = 11
??
3. . Identify the number of solutions from the description of the equations.
Two equations are the same on one side but different on the other.
One of the equations in the system can be rewritten so it is identical to the other equation.
4. Fill in the blanks to describe how you could identify the number of solutions to a system if you only
knew some points on each line.
Start by finding the of each line using the points.
Compare the slopes. If they are different, the lines . This means there is
solution to the system.
You could also plot the points on a and use this to find the point where the
lines.