Let's solve your system by substitution.
y
=
−
2
x
+
7
;
y
=
5
x
−
7
Step: Solve
y
=
−
2
x
+
7
for y:
y
=
−
2
x
+
7
Step: Substitute
−
2
x
+
7
for
y
in
y
=
5
x
−
7
:
y
=
5
x
−
7
−
2
x
+
7
=
5
x
−
7
−
2
x
+
7
+
−
5
x
=
5
x
−
7
+
−
5
x
(Add -5x to both sides)
−
7
x
+
7
=
−
7
−
7
x
+
7
+
−
7
=
−
7
+
−
7
(Add -7 to both sides)
−
7
x
=
−
14
−
7
x
−
7
=
−
14
−
7
(Divide both sides by -7)
x
=
2
Step: Substitute
2
for
x
in
y
=
−
2
x
+
7
:
y
=
−
2
x
+
7
y
=
(
−
2
)
(
2
)
+
7
y
=
3
(Simplify both sides of the equation)
Answer: x=2 and y=3
Answer:
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=300 (1)
5x+8y=300*7
5x+8y=2100(2)
First, you can isolate x in (1):
x=300-y (3)
Now, you can replace (3) in (2):
5(300-y)+8y=2100
1500-5y+8y=2100
3y=2100-1500
y=600/3
y=200
Then, you can replace the value of y in (3) to find x:
x=300-200
x=100
According to this, the answer is that he should use 100 pounds of dried pineapple and 200 pounds of dried apricots.
Answer:
Sweets are sold loose, or pre-packed in 120g bags.
The 120 g bags are £1.49 each.
The loose sweets are £0.89 for 100g.
By calculating the price per gram, determine which is better value. Show your working.
Answer:
0.2
Step-by-step explanation:
Multiply 4/5 and 1/4: Decimal form
.8 • .25
Answer:
Federalists wanted a
centralized banking
system and Alexander
Hamilton, as Secretary of
the Treasury, proposed a
national bank in 1789.
• Antifederalists, like
Thomas Jefferson,
opposed this plan.
– They favored a
decentralized banking
system in which states
established and
regulated banks within
their borders.
Step-by-step explanation:
