Answer:
Given: The following system:
4x + y − 2z=18 ......[1]
2x-3y+3z = 21 ......[2]
x-3y=6 ......[3]
we can write equation [3] as;
3y = x-6 ......[4]
Multiply by 3 in equation [1] to both sides of an equation we get,
or
12x+3y-6z=54 ......[5]
Substituting the equation [4] in [2] and [5] we get;
2x-(x-6)+3z=21 or
2x-x+6+3z=21
Simplify:
x+3z=15 .....[6] [combine like terms]
12x+x-6-6z =54
Simplify:
13x-6z=60 ......[7] [Combine like terms]
On Solving equation [6] and [7] simultaneously,
x+3z=15
13x-6z=60
we get the value of x
i.e, x=6
Substitute the value of x in equation x+3z=15 we get
6+3z=15 or
3z=9
Simplify:
z=3
Also, substitute the value of x=6 in equation [3] we get the value of y;
x-3y=6
6-3y=6 or
-3y = 0
Simplify:
y = 0
Therefore, the solution to the system of three linear equation is, (6, 0 , 3)
Answer:
60.6°
Step-by-step explanation:
Tan ACB = opp/adj
= 10.3/5.8
ACB = 60.61584287 = 60.6
Answer:
1.59C + 2.25A = 786.75
C + A = 33 (even if all were the higher paying adults, that would only be 33x2.25=74.25 far less than <<786.75)
1.59C + 1.59A = 33(1.59) = 52.47 subtract to eliminate C
(2.25-1.59)A = 786.75 -52.47 = 734.28
.66A = 734.28
A = 73428/66 = 1112.55 = about 1113 adults
C = 33-1113 = -1080 children
which makes no sense. over a thousand "negative" children? the public pool gave refunds to over a thousand prepaid children who didn't show up? but a public swimming pool, no matter how large, probably wouldn't accomodate 1113 adults.
Step-by-step explanation:
Answer: You can't answer this, but here are some guidelines
Step-by-step explanation:
I would love to answer this question (coming from someone who has already completed algebra keystones) but I need to know what the linear equations are before I can. If the functions are reciprocals of one another (the slope is the opposite and the fraction is switched) it is a perpendicular line which means one solution. If the slope is the same but the intercept is different (using y=mx+b) so if b is different but m is the same they are parallel and there is no solution. If they are the same line (same equation) there is infinite solutions. If this doesn't help I would suggest finding graph paper and trying it out and seeing the intersection points.
Answer:
that is the first one and the last one.
Step-by-step explanation:
we have to check which ones have negative eight as y values so that is the first one and the last one.
if my answer helps please mark as brainliest.
