Solving Systems of Equations: Three Methods Explained

What are the three methods discussed for solving linear systems?

• Matrix, determinant, and graphing

• Integration, differentiation, and graphing

• Substitution, elimination, and graphing

• Addition, subtraction, and division

In the substitution method, what is the first step?

• Solve for one variable

• Graph the equations

• Eliminate one variable

• Multiply equations

What do you achieve by distributing 3 across the quantity y + 5?

• y + 15

• 3y + 5

• 3y - 15

• 3y + 15

What is the result of simplifying 3y + 2y?

• y

• 6y

• 5

• 5y

In the elimination method, what is the goal?

• To solve for y immediately

• To substitute one variable into the other

• To graph the equations

• To eliminate one variable

How do you transform the equation x - y = 5 for elimination?

• By multiplying the equation by 2

• By dividing the equation by 2

• By adding y to both sides

• By subtracting y from both sides

What is the result when you add 3x + 2x?

• 10x

• 5x

• 6x

• x

What form do you need to put the equations in for graphing?

• Slope-intercept form

• Standard form

• Point-slope form

• Quadratic form

What does the slope of 1 indicate in the graphing method?

• Down one, over one to the left

• Up one, over one to the right

• Down one, over one to the right

• Up one, over one to the left

What is the solution to the linear system found using all three methods?

• x = 3, y = -2

• x = -2, y = 3

• x = 5, y = 0

• x = 0, y = 5