Substitution Method

Front

What is the first step in solving a system of equations using the substitution method?

Back

Get either variable by itself.

Front

How do you solve the system of equations y = -4x + 5 and y = 3x - 16 using substitution?

Back

Substitute y from the first equation into the second equation to find x, then substitute x back to find y. The solution is (3, -7).

Front

What is the solution to the system of equations -x + y = 1 and 3x + y = 5?

Back

The solution is (1, 2).

Front

How do you solve the equations y = 7x + 7 and 2y + 2x = -18 using substitution?

Back

Substitute y from the first equation into the second equation to find x, then substitute x back to find y. The solution is (-2, -7).

Front

What is the solution to the system of equations -4x + 4y = 8 and y = -2x - 10?

Back

The solution is (-4, -2).

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one of the equations for one variable and substituting that expression into the other equation.

Front

What is the importance of isolating a variable in the substitution method?

Back

Isolating a variable allows you to express one variable in terms of the other, making it easier to substitute and solve the equations.

Front

Can the substitution method be used for any system of equations?

Back

Yes, the substitution method can be used for any system of linear equations, but it is particularly useful when one equation is easily solvable for one variable.

Front

What should you do if both equations in a system are in standard form?

Back

You can rearrange one of the equations to isolate a variable before substituting.

Front

What is a common mistake when using the substitution method?

Back

A common mistake is incorrectly substituting the value of one variable into the other equation, leading to an incorrect solution.