Answer:
(2,-2)
Step-by-step explanation:
The first step is to substitute y in the first equation with the right side of the second equation because they both equal to y.
-3x+4 = 4x-10
-3x-4x+4-4 = 4x-4x-10-4
-7x = -14
-7x/-7 = -14/-7
x = 2
Plugin 2 for x for either equation to solve for y, I'll be using the second equation, but either one is fine.
y = 4(2)-10
y = 8-10
y = -2
Plugin x = 2 and y = -2 into (x,y), and you get (2,-2)
Mentally
As they are numbers which you can do mental math with since they are whole numbers.
Answer: 8 units
Step-by-step explanation:
Set this up as an equation with a variable for turtles. Count up the other side of the scale (without turtles). Add up the three 1s and the 4 to get 7. Then add up all four 7s. This will get you with an equation 3t+4=28.
To solve this, first subtract 4 from both sides to get 3t=24. Now divide both sides by 3. 24/3=8. Each turtle weighs 8 units.
Answer:
x=5
Step-by-step explanation:
19x and its vertical angle are equal. Lets call that angle y
<y and 17x are same side interior angles. Same side interior angles add to 180 if the lines are parallel. Since l is parallel to m.
<y + 17x=180
We know that y and 19x are equal since they are vertical angles, so we can substitute this in.
19x+ 17x = 180
Combine like terms.
36x = 180
Divide each side by 36
36x/36 = 180/36
x = 5