Answer: x = 5
y = 2
z = 2
Step-by-step explanation:
-3x+4y+2z=-3 - ,- - - - - - 1
2x-4y-z=0 - - - - - - - - - - 2
y=3x-13 - - - - - - - - - - 3
We will use the method of substitution.
Substituting y = 3x -13 into equation 1 and equation 2, it becomes
-3x+4(3x-13)+2z=-3
-3x + 12x - 52 + 2z=-3+52
9x+2z = 49 - - - - - - -4
2x - 4(3x-13)-z= 0
2x - 12x + 52 - z = 0
-10x- z = -52 - - - - - - --5
Using elimination method to solve equation 4 and equation 5
Multiply equation 5 by 2 and equation 4 by 1
-20x - 2z = -104
9x+2z = 49
Adding both equations,
-11x = -55
x = -55/-11
x = 5
Substituting x = 5 into equation 3
y = 3x - 13
y = 3×5 -13 = 15-13
y = 2
Substituting x = 5 and y = 2 into equation 1,
-3x+4y+2z=-3
-3×5 + 4×2 +2z = -3
-15+8+2z = -3
-7+2z = -3
2z = -3+7
2z = 4
z = 4/2 = 2
That’s some Jesus math there buddy idek
Answer:
y = 3.2
Step-by-step explanation:
Simplifying
5y + -6 = 10
Reorder the terms:
-6 + 5y = 10
Solving
-6 + 5y = 10
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '6' to each side of the equation.
-6 + 6 + 5y = 10 + 6
Combine like terms: -6 + 6 = 0
0 + 5y = 10 + 6
5y = 10 + 6
Combine like terms: 10 + 6 = 16
5y = 16
Divide each side by '5'.
y = 3.2
Simplifying
y = 3.2
Answer:
( 5, 3/2 )
x = 5
y = 3/2
Step-by-step explanation:
5x - 4y = 19
x + 2y = 8
-------------------
2(x + 2y = 8) = 2x + 4y = 16
----------------------
5x - 4y = 19
2x + 4y = 16
7x = 35
÷7 ÷7
x = 5
-----------------------
x + 2y = 8
5 + 2y = 8
-5 -5
2y = 3
÷2 ÷2
y = ( 3/2 )
I hope this helps!
9514 1404 393
Answer:
angles (W, X, Y) = (77°, 62°, 41°)
Step-by-step explanation:
<u>Given</u>:
ΔWZY
∠W = 2(∠Y) -5°
∠X = ∠Y +21°
<u>Find</u>:
∠X, ∠Y, ∠W
<u>Solution</u>:
Using angle measures in degrees, we have ...
∠X + ∠Y + ∠Z = 180
(∠Y +21) +∠Y + (2(∠Y) -5) = 180
4(∠Y) +16 = 180 . . . . . simplify
∠Y +4 = 45 . . . . . . . . . divide by 4
∠Y = 41 . . . . . . . . . . . . subtract 4
∠W = 2(41) -5 = 77
∠X = 41 +21 = 62
The angle measures of angles (W, X, Y) are (77°, 62°, 41°), respectively.