Let's solve your system by substitution.
−3x+y=−2;y=4x
Rewrite equations:
y=4x;−3x+y=−2
Step: Solvey=4xfor y:
y=4x
Step: Substitute4xforyin−3x+y=−2:
−3x+y=−2
−3x+4x=−2
x=−2(Simplify both sides of the equation)
Step: Substitute−2forxiny=4x:
y=4x
y=(4)(−2)
y=−8(Simplify both sides of the equation)
Answer:
x=−2 and y=−8
Answer:
top right is alternate interior and top left is corresponding
Step-by-step explanation:
Answer:
2
(
n
+
2
)
(
n
+
1
2
)
Step-by-step explanation:
coefficient of the first term:
2
=
2
×
1
coefficient of the last term:
2
=
2
×
1
coefficient of the middle term (using only the factors above):
5
=
2
×
2
+
1
×
1
2
n
2
+
5
n
+
2
=
(
2
n
+
1
)
(
n
+
2
)
Alternative method:
Treat the given expression as a quadratic set equal to zero, with the form
a
n
2
+
b
n
+
c
and use the quadratic formula
−
b
±
√
b
2
−
4
a
c
2
a
This will given solutions
n
=
−
2 and n
=
−
1
2
for a factoring
2
(
n
+
2
)
(
n
+
1
2
)
Hope this helped
