<span>1) Solve the system of equations using the substitution method.
2x+8y=4
x=−3y+5
we have that
</span>2(−3y+5)+8y=4---------- > -6y+10+8y=4---------- > 2y=-6-----> y=-3
x=−3y+5----------> x=−3*(-3)+5=14
the answer is
x=14
y=-3
2 <span>Solve the system of equations using the linear combination method.
5m+3n=41---------- > 2*[</span>5m+3n=41]---------------- > 10m+6n=82<span>
3m−6n=9-------------------------------------------------- > </span>3m−6n=9
---------------------
13m+0n=91
m=91/13=7
3m−6n=9--------------- > 3*7−6n=9----------- >21-9=6n-----------> n=2
the answer is
m=7
n=2
<span>3. Solve the system of equations using the linear combination method.
6g+8h=40
−6g+2h=−20
------------------
0+10h=20------------- > h=2
</span> 6g+8h=40--- > 6g+8*2=40-> 6g=24-> g=4
the answer is
h=2
g=4
<span>4. Solve the system of equations using the linear combination method.
9x+5y=35------------- > -1*[</span>9x+5y=35]--------> -9x-5y=-35<span>
2x+5y=0-------------------------------------------- > </span>2x+5y=0
<span> ----------------------
-7x+0=-35
x=5
</span>9x+5y=35- > 9*5+5y=35---- > 5y=-10--------- > y=-2<span>
</span>the answer is
x=5
y=-2<span>
</span>
Answer:
Probability the first is a communications major and the second is a business major = 0.03
Step-by-step explanation:
let the total number of students be 100
Event A= Business Majors = 15%
Event B = Communication Majors = 20%
P(A) = ⇒ P(A) = 0.15
P(B) = ⇒ P(B) = 0.2
P( A and B) = P(A) × P(B)
= 0.15 × 0.2
= 0.03
Answer:
(-3, 5)
Step-by-step explanation:
X + y = 2---------------1
X - y = 8----------------2
Substitution method
X = 8 + y
Put x = 8+ y in 1 above
(8+y) +y= 2
2-8= 2y
-6 = 2y
Y= -3
Do same for x
Answer: 24 m
Step-by-step explanation:
Given: area of the circle is 144 π m² .
Area of a circle = , where r= radius of the circle.
Then,
Cancelling π from both sides , we get
Taking square root on both sides , we get'
i.e. radius = 12 m
Then diameter = 2 (radius ) = 2 (12)= 24 m
Hence, the diameter of the circle is 24 m.