Question

In order to create a system of equations that has the same solution as the system

x+y=4
2x+y = 7
complete three steps.
1
Step 1: Multiply the equation x + y = 4 by _[blank A]__.
Step 2: Add the equations 2x + y = 7 and _[blank B]_.
Step 3: Write the new system of equations as _[blank C]__.
Match each blank with the system or statement that correctly fills in that blank.

Answer 1

Blank A is -2. Blank B is -2x-2y=-8. Blank C is y=1

Answer 2

#Step1

• Multiply by -2

It will result -2x-2y=-8

#2

• -2x-2y=-8

#3

add

• -y=-1
• y=1

Find x

• x+1=4
• x=3