Alg I 5.1-5.2

Front

What is the first step in solving a system by Substitution?

Back

Make sure at least one equation is solved for one variable.

Front

Solve for x and y: 3x + 2y = 16, 7x + y = 19

Back

(2, 5)

Front

Solve this system by substitution: y = 2x + 2, 3x - y = 1

Back

(1, 4)

Front

There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system can be used to figure out how many of each animal the farm has?

Back

d + c = 50, 4d + 2c = 174

Front

Solve the system of equations by elimination: -x + y = -13, -8x - 4y = -8

Back

(5, -8)

Front

What does it mean for a system of equations to be consistent?

Back

A system is consistent if it has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

A system is inconsistent if it has no solutions.

Front

What is the substitution method in solving systems of equations?

Back

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

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

If a system of equations has infinitely many solutions, what does that imply about the equations?

Back

It implies that the equations are dependent and represent the same line.