<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:
Width = 5
Length = 10
Step-by-step explanation:
Let x be the width of the rectangle
2x + 2(2x) = 30
x = 5
Width = 5
Length = 10
Partial products is breaking down every number in multiplication and adding them. Regrouping is grouping number them adding them. They are different because one is taking all the numbers broken down, while the other is just a couple of the number.
Answer: (0,0)
Step-by-step explanation: