(2,-6,1)
There are a few way to solve this with linear programming, but I am using a simple substitution method.
The goal is to isolate the variables by subtracting or adding the equations. (note: I will refer to the equations as A,B, and C)
2x+y−z=−3
5x−2y+2z=24
3x−z=5
C already has just two variables, x and z. This means a good place to start is by eliminating at least y from one other equation, if not y and another value. To do this, we need to either add two equations where the y values are opposite or subtract one where the y value is equal. However, the two equations with a y value do not have opposite or the same y values.
To get a new equation, we can multiply A by 2. This will give us +2y, which can be added to B to eliminate the value all together- AND the z value. Remember that the WHOLE A equation needs to be multiplied by 2:
2(2x+y-z)=2(-3)
4x+2y-2z=-6
We can now add 2A to B.
(4x+2y-2z=-6)+(5x−2y+2z=24
)
9x=18
x=2
We now know x=2. We can plug this into C to find the z value.
3x−z=5
3(2)-z=5
6-z=5
-z=-1
z=1
With both x and z, we can find y using A.
2x+y−z=−3
2(2)+y-(1)=-3
4+y-1=-3
3+y=-3
y=-6
x=2, y=-6, z=1
6. 6•2-1 = 12-1 = 11
9+2 = 11 11 = 1
7. 9•[8-2-3-(9-8)] 9-8 = 1
8-2-3 = 3 • 9 = 27+1 = 28
8. [7•3-(6+9)]/2= 6+9= 15
7•3 = 21 /2 = 10.5
9. 2•10/5+(7+5)/2= 7+5=12
2•10 = 20/2 = 10+12 = 22
10. 2•6-9-[5-(9-7)] 9-7 = 2
5-2 = 3
2•6= 12-9+3 = 3+3=6
11. 10+10/5-8 = 10/5 = 2
10-8+2= 2+2=4
12. [2-(10-8)]•6+3•5 = 10-8=2
2-2= 0 • 6 = 0+3•5 =15
13. 8/2/(6-4) = 6-4 = 2
8/2/2 = 4/2=2
14. 6[5+(14-8)/3] = 14-8=6 = 5+6/3= 2+5= 7•6 = 42
make sure you always use PEMDAS! those brackets are important too. once you do the problem inside the parentheses you go straight to the problem inside the bracket then move further on. please make brainliest :)!!
Answer:
see below
Step-by-step explanation:
t> -3
There is an open circle at -3 since there is no equals sign
t is greater so the line goes to the right
10y + 7 + 3(3y + 7) = 180
10y + 7 + 9y + 21 = 180
19y + 28 = 180
19y = 180 - 28
19y = 152
y = 152/19
y = 8
Plug back into Q and S.
Q = 10y + 7
Q = 10(8) + 7
Q = 80 + 7
Q = 87
S = 3(3y + 7)
S = 9y + 21
S = 9(8) + 21
S = 72 + 21
S = 93
Without solving for x to find the other angles, we can easily see that the answer is choice C.
Answer:
P = 61°
Q = 87°
R = 119°
S = 93°
Done!
Y=0.72(3) i think tht is the answer
