When is substitution the most beneficial method for solving a system of equations?

When one of the variables has a coefficient of 1 or -1.

In the system of equations: x + 3y = 7 and 2x + y = 4, which variable would be easiest to solve for first using substitution? Explain why.

x in the first equation because it has a coefficient of 1.

A consistent system has at least one solution.

The point where the two lines intersect.

10th GradeMath55 min

I can solve a system of equations using substitution or elimination.

6 min

Learn to solve a system of equations using substitution

Brian McLogan

11 min

Key concepts students will learn:

•
The substitution method is most useful when one of the equations has a variable with a coefficient of 1 or -1.
•
When using substitution, you isolate one variable in one equation and substitute the expression into the other equation.
•
After substituting, you'll have an equation with only one variable, which you can then solve to find the value of that variable.

17 min

12 questions • Multiple choice & Short answer

5 min

“Solve the following system of equations using substitution: y + 2x = 4 and 3x + 5y = 13. Show all your work.”

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