Answer:
Step-by-step explanation:
the following are true
1) yes
2)No
3)yes
4)yes
5)yes
6)no
You can set up two equations from the information given. I will set them up for you:
32 = 4x + 2y
36 = 5x + 2y
Let's solve the first equation to come up with a value for y.
32 = 4x + 2y
32 - 4x = 2y
16 - 2x = y
Now we plug y into the other equation.
36 = 5x + 2(16-2x)
36 = 5x + 32 - 4x
4 = x
Now we have our real x value and we can plug it into the first equation.
32 = 4(4) + 2y
32 = 16 + 2y
16 = 2y
8 = y
Since x = 4 and y = 8, you get the final coordinates of (4,8).
Your answer is the second statement provided above.
4x-y= -36
Distribute the 4: y-12=4x+24
Add 12 to both sides: y=4x+36
Move the y to the other side: 0=4x-y+36
Subtract 36 from both sides: 4x-y= -36
