OK to solve this, we have to solve each system presented through elimination or substitution and find which one is equivalent to that of the teacher's!
First let's solve for the teacher's:
-2x+5y=10
-3x+9y=6
Solve by substitution (I think elimination might be easier to do for this one, but I don't really remember 100% sorry!)
Isolate the x (or y) variable in the first equation
-2x+5y=10
-2x=10-5y

Substitute x into the next equation and solve for y
-3(10-5y/2)+9y=6
3*10-5y/2+9y=6
(multiply both sides by 2)
3(10-5y)+18y=12
30-15y+18y=12
30+3y=12
3y=-18
y=-6
Substitute in x
x= -10-5(-6)/2
x=-20
TEACHER'S ANSWER (-20,-6)
GOKU
x-3y=-2
-2x+5y=-7
Do the same as above
Solve for x
x-3y=-2
x=3y-2
Plug in
-2(3y-2)+5y=-7
4-6y+5y=-7
4-y=-7
-y=-11
y=11
x=(3(11)-2)
x=31
GOKU'S ANSWER (31, 11)
SELINA:
-5x+14y=16
-3x+9y=12
One last time!! :)
-5x+14y=16
-5x=16-14y
x=(16-14y)/-5
-3(-(16-14y/5)+9y=12
3*16-14y/5+9y=12
3*16-14y+45y=60
48-42y+45y=60
48+3y=60
3y=12
y=4
x=-(16-14(4))/5
x=8
SELINA'S ANSWER
(8,4)
So neither Goku or Selina got the same answer as the teacher
Changing B changes where it crosses on the y-axis... on the graph
Answer:
24 years old
Step-by-step explanation:
Let Malvin's age be x.
- x / 2
- x / 2 + 5 = 5x / 10 [ By taking the L.C.M.]
- ( 5x / 10 ) * ( 1 / 3 ) = 5x / 30 [ Multiply with the reciprocal of 3 ]
- ( 5x / 30 ) * 2 = 5x / 15
Now let's solve the equation,
5x / 15 = 8
5x = 8 * 15
5x = 120
x = 120 / 5
x = 24
Therefore, Malvin is 24 years old.
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Answer:
2.25 square inches
Step-by-step explanation:
we know that
The scale is 
That means
1 inch on a map represent 20 miles in the city
so
An area of
on a map represent an area of
in the city
Applying proportion

the sine function is a many-to-one function and therefore has no inverse function.
However if the domain is restricted to -90° ≤ x ≤ 90°
Then the function is one-to-one for this domain
Thus,
x is defined as the angle such that - π/2 ≤ x ≤ π/2
5π/6 is therefore outwith the domain