(4,10).
1. There are three ways to solve this: elimination, substitution, graphing.
2. I chose elimination, so I had to get one negative variable and one positive variable of the same value (for example, 18 and -18)
-7x+2y=-8
-16x+9y=26
I chose to get 2y and 9y to equal -18y and 18y.
So, multiply the first equation by -9. Multiply the second by 2.
63x-18y=72
-32x+18y=52
the 18s cross each other out. So you're left with
63x=72
-32x=52. Add them.
31x=124, divide both sides by 31, and you'll get 4.
x=4
Plug your answer for x into one of the equations. Let's use the first one.
-7(4)+2y=-8
-28+2y=-8. add 28 to both sides.
2y=20, divide both sides by 2.
y=10.
This makes your answer (4,10)
127 = 100 +27
32 = 30 +2
so 127 x 32 = (100 + 27) x (30+2) = (100x30) + (100x2) + (27x30) +(27x2)
= 3000+200+810+54 = 4064
second way:
127 = 100 + 27
127 x 32 = (100+27) x 32 = (100x 32) + ( 27x32) = 3200 + 864 = 4064
Answer:
5.65+3.07=8.72
8.72/16=0.545
Each bag of gapes weight 0.545 pounds.
Step-by-step explanation:
Since the graphic shows you that both angles across from both of the sides are equal we can tell that both sides are equal.
Now to solve for the variable all you need to do is make an equation where both of the sides are equal to each other.
So...8x - 12 = 12x - 18
Now to solve you need to get rid of the constants, or regular numbers. To do this, add 12 to both sides.
So...8x = 12x - 6
Next, you need to move the variable to one side, do this by subtracting 12x from both sides.
So... -6x = -6
Finally, divide both sides by -6 to get what the variable equals.
So...x = 1
Your final answer is both sides equal 1 in.
