Lets solve this system of equations using addition.
9x+2y^2-3z^2=132
+ 9y-2y^2+3z^2=867
-------------------------------
9x+9y+0y^2+0z^2=999
9x+9y=999
x+y=111
Now lets break it down into two equations
x=111-y y=111-x <-- Answer
Now we can substitute with much simpler equations to check.
x=111-(111-x)
x=111-111+x
x=x
True
y=111-(111-y)
y=111-111+y
y=y
True
Answer:
- Only one solution
- (x, y) = (-0.8, -3.6)
Step-by-step explanation:
You know there is only one solution because the ratio of x- and y-coefficients is different in the two equations. That means the lines will have different slopes, so must intersect in exactly one point.
__
The y-coefficients are opposites, so you can eliminate the y-variable by adding the equations:
(2x -y) + (3x +y) = (2) + (-6)
5x = -4
x = -4/5 = -0.8
Substituting this into the second equation, we have ...
3(-0.8) +y = -6
y = -3.6 . . . . . . . add 2.4 to both sides
The solution is (x, y) = (-0.8, -3.6).
__
You can also find the solution by graphing (or using a graphing calculator).
Answer:
9 + 10 +x= 21
x=21-19
x=2
add 2 in left hand side to get 21
Answer:
28 = 14 + x, 51 = 38 + x
Step-by-step explanation:
I got both sums because the last part says "is 28" and "is fifty-one," signaling that they each take up one side of the equation. Sum means add (so a + sign) and more than also means add (in this case). X just stands for the numbers not given.
Hello!
As we are looking for the opposite side and hypotenuse, we will use the sine.
sin30=1/2
This gives us the equation below.
1/2= 5/x
1/2x=5
x=10
Therefore, x=10.
I hope this helps!