Because the last equation already has the y eliminated so just need to get the other two to eliminate the y too
multiply 4 to the first equation to eliminate y, and you get
-4x-4y-4z=-32
-4x+4y+5z=7
now get rid of y so all you have left is
-8x+z=-25 (let call this equation #4)
now take equation #3 and #4 together to solve for one of the variables, i’ll solve for z first so i’ll get rid of x by multiply the equation #4 all by 4, you get
8x+8z=16
-8x+z=-25
solve it and get 9z= -9; z=-1
now you have z so take it and ply it into equation #3
2x+2(-1)=4
2x=6; x=3
take both of them, plug it in equation #1
-3-y-(-1)=-8
-y=-6 ; y=6
done so the answer is (x,y,z) = (3,6,-1)
Answer:
The number is -2
Step-by-step explanation:
Let the number = x
Given that:
Five times the result of adding one to a certain number, is equal to four times the number, plus three.
The equation will be:
5(x+1) = 4x +3
Simplifying
5x + 5 = 4x +3
Taking terms with x on left side and others on right side
5x - 4x = 3 - 5 (sign of transferred terms will be changed)
x = -2
Proof :
Condition 1:
- Add one = -2 +1 = -1
- Multiply 5 = -5
Condition 2:
- 4 times of number = 4 (-2) = -8
- Add 3 = -8 +3 = -5
Hence both conditions have same answer.
I hope it will help you!
According to the calculations made, 410 gumballs will be needed to fill the box.
Since you are trying to figure out how many gumballs you need to fill a 7.3 x 5.0 x 9.4 rectangular box for Halloween, and each gumball has a radius of 1/2 in, if the packing density for spheres is 5/8 of the volume will be filled with gumballs while the rest will be air how many gumballs will be needed, to determine this amount the following calculation must be performed:
- (Volume of box x 5/8) / volume of gumballs = Amount of gumballs
- Volume of a sphere = 4/3 x 3.14 x (radius x radius x radius)
- Volume of a gumball = 4/3 x 3.14 x (0.5 x 0.5 x 0.5) = 0.5235 inches
- ((7.3 x 5 x 9.4) x 5/8) / 0.523 = X
- (343.1 x 5/8) / 0.523 = X
- 214.4375 / 0.523 = X
- 410 = X
Therefore, 410 gumballs will be needed to fill the box.
Learn more in brainly.com/question/1578538
1. DEF
2. 3rd option
3. Angles<span> 3 and 5 are alternate interior angles, as are angles 2 and 8. Alternate interior angles are </span>congruent<span>.
5. 94</span>
Answer:
O A).
Step-by-step explanation:
