Solving systems of equations worksheets on this page. Find out below how you can print this worksheet about solving systems of linear equations.
Name: ______________________ |
Date: __________________________ |
Find the solution for each system below by elimination or by substitution.
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Name: _______________________ |
Date : _______________________ |
Tell whether the system below has 1 solution, no solution, or infinitely many solutions. If the system has a solution, find it.
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What is solving by substitution?
You can solve by substitution when you plug in either the value of x or the value of y into one of the two equations.
Example:
x = y + 1
y + x = 21
Here, you can just replace the value of x or y + 1 in y + x = 21
y + y + 1 = 21
2y + 1 = 21
2y = 20
y = 10 and x = y + 1 = 10 + 1 = 11
What is solving by elimination?
You can solve by elimination when you eliminate either x or y by adding the two equations. We may need to rewrite one or both equations!
Example:
x = y + 1
y + x = 21
Let us rewrite x = y + 1 as x - y = 1 and then add the two equations to eliminate y.
x - y = 1
y + x = 21
Let us add the two equations.
2x - y + y = 1 + 21
2x + 0 = 22
2x = 22
x = 11
Using y + x = 21, y + 11 = 21, so y = 21 - 11 = 10.
Jan 26, 23 11:44 AM
Jan 25, 23 05:54 AM