Systems Substitution First Step

What is the best method do you use?

x = 6y − 11

−2x − 3y = −7

• Graphing, because they are both in slope-intercept form

• Substitution because a variable is isolated (solved for)

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

• Make sure both equations are in standard form.

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

• Make sure both equations are in slope-intercept form.

• Make sure both equations can be solved.

What is the solution to the following system:

^{y = 5x}

^{3x + y = 24}

• ^{(15, 3)}

• ^{(3, 5)}

• ^{(3, 15)}

• ^{(5, 3)}

What is the solution to the following system?

^{x = 4y}

^{x - 4y = 0}

• (0, 0)

• no solutions

• infinite solutions

• (4, 0)

y = 5x + 1
y = 3x + 13

• (6, 31)

• (31, 6)

• (4, 21)

• (2, 11)

y = 3x + 2
y - 3x = 2

• no solution

• infinite solutions

• (0 , 0)

• (2 , 2)

Solve this system of equations. 
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

y = -3x + 11
y = -6x - 13

• (-8, 35)

• (8, -13)

• (1, 8)

• (2, 13)

y = 3x - 1
2x + 2y = 22

• (2, 5)

• (3, 8)

• (4, 11)

• (5, 14)

Which graph represents a system of equations with infinite solutions?

• 
• 
• 
• None of the above