<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:
0.84 kg
Step-by-step explanation:
Given that :
Weight per liter = 1.12kg per liter
That is 1 Litre weighs 1.12 kilogram
The weight of saline solution of 0.75 Litre will be :
1 Litre = 1.12 kg
0.75 Litre = x
Cross multiply :
1 * x = 1.12 * 0.75
x = 0.84 kg
Hence, 0.75 Litre weighs 0.84 kg
X + 7 = - 3
x = - 3 - 7
x = - 10
Now put the value of x in 2nd equation,
- 10 - y = -3
- y = - 3 + 10
- y = 7
y = - 7
Answer:
"all real numbers."
Step-by-step explanation:
Subtract 13 from both sides, obtaining -5x = -5x.
This result is true for all x, so the solution set is "all real numbers."