Substitution Method

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting that expression into the other equation to find the values of both variables.

Front

How do you start solving a system of equations using substitution?

Back

Begin by isolating one variable in one of the equations, then substitute that expression into the other equation.

Front

Solve for y in the equation: y = 3x - 5.

Back

y = 3x - 5 is already solved for y.

Front

Given the equations y = 3x - 5 and 4x - 3y = -35, what is the first step in using substitution?

Back

Substitute y from the first equation into the second equation.

Front

What is the solution to the system of equations: y = 3x - 5 and 4x - 3y = -35?

Back

(10, 25)

Front

Solve for y in the equation: y = -2x - 10.

Back

y = -2x - 10 is already solved for y.

Front

Given the equations -4x + 4y = 8 and y = -2x - 10, what is the first step in using substitution?

Back

Substitute y from the second equation into the first equation.

Front

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

Back

(-4, -2)

Front

Solve for y in the equation: y = -4x + 5.

Back

y = -4x + 5 is already solved for y.

Front

Given the equations y = -4x + 5 and y = 3x - 16, what do you do next?

Back

Set -4x + 5 equal to 3x - 16 and solve for x.