Finding Solutions to Equations and Inequalities

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Solve the system of inequalities by graphing.

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• solid

• dotted

An inequality using > or < has a ___________ line.

• solid

• dotted

The first step in solving using the substitution method is __________.

• get x by itself

• get y by itself

• get either variable by itself in one equation

• add the equations together

what is the variable that willl be "eliminated"?

5x - 4y = 11

5x + 4y = -14

• x variable

• y variables

• both variables

What would be the first step in finding the solution with elimination?

• cross out the 3y and -3y

• cross out the 4x and x

• change all the signs of the second equation

• add 1 and -11

What would be the first step in finding the solution using elimination?

2x + 2y = -2

3x - 2y = 12

• you cannot solve this using eliminiation

• cross out the 2x and 3x

• cross out the 2y and -2y

• change to slope intercept form and graph

Will my line be solid, or dotted?

y - x < 6

• Solid

• Dotted

What is a similarity between solving linear inequalities and linear equations in one variable?

• Both require flipping the inequality sign when multiplying or dividing by a negative number.

• Both involve finding a specific value for the variable.

• Both can be solved using similar algebraic operations like addition and subtraction.

• Both always have a single solution.