4)
I:3x+4y=67
II:5x-y=35
to eliminate y when they are added one of the equations must contain -ay and the other +ay (with a being some number)
in this case we have in I already a positive term and in II a negative, but they have different numbers
by using multiplication (property of equations) we can multiply II by 4 so the negative and positive parts match
II*4: 20x-4y=140
when I and 4*II get added this results in
3x+20x+4y-4y=67+140
23x=207
5)
in this case I and II were added which can be seen in the left side of the equation((3x+4y)+(5x-y)=8x+3y), so to get the right side we have to also add the right sides 67+35=102
so the full equation would be:
8x+3y=102
<h2>
Hello!</h2>
The answer is: True.
<h2>
Why?</h2>
A counterexample is a way that we can prove that something is not true about a mathematical expression or equation, it could be considered as an exception to a rule, so to check if the answer is true or false, we must prove that a counterexample of the given expression is 0°, so:
The given expression is:

Then,

We can see that the equation is not fulfilled, so 0° is a counterexample of
and the answer is true.
Have a nice day!
Answer:
see explanation
Step-by-step explanation:
(a)
The angle around the centre O of the circle = 360°, then
∠ AOB = 360° - 260° = 100°
Δ AOB is isosceles ( the radii OA and OB are congruent )
The altitude from O bisects ∠ AOB , thus
y = 50°
Since the triangle is isosceles the 2 base angles are congruent, so
x =
=
= 40°
(b)
∠ POR = 360° - 254° = 106°
Δ POR is isosceles (the radii OP and OR are congruent ) , then
the 2 base angles are congruent , thus
a =
=
= 37°
Answer:
Step-by-step explanation:
V = length * width * height
64 = length * 2 * 4
64 = length * 8
length = 64 / 8
length = 8 m
Answer:
148692/12
Step-by-step explanation:
12391