Algebra I Chapter 6

No solutions

How many solutions does the system have? -x+y=8 x-y=8

Infinitely many solutions

How many solutions does the system have? 2x+3y=4 4x+6y=8

One solution

How many solutions does the system have? x+2y=12 x-2y=4

Isolate a variable

What is the first step to solve the system using substitution? x+4y=9 x-y=4

Substitute the expression in for "y"

What is the first step to solve the system using substitution? y=2x-7 x+2y=1

Multiply the top equation by some value.

What would be the first step to solve the system by elimination? -x+y=-4 2x-3y=5

Write both equations in standard form.

What would be the first step to solve the system by elimination? 11x=2y-1 3y=10+8x

Multiply both equations by some value to achieve a LCM that can be eliminated.

What would be the first step to solve the system by elimination? 8x-7y=-3 6x-5y=-1

Subtract the systems (change all of the signs on one equation, then add)

What would be the first step to solve the system by elimination? 9x-2y=34 5x-2y=10

Add the systems together

What would be the first step to solve the system by elimination? x+2y=13 x-2y=-7