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Helen [10]
3 years ago
13

-3x+3y=9 2x−7y=−14 ​

Mathematics
1 answer:
nignag [31]3 years ago
6 0
Step: Solve
−
3
x
+
3
y
=
9
for x:
−
3
x
+
3
y
=
9
−
3
x
+
3
y
+
−
3
y
=
9
+
−
3
y
(Add -3y to both sides)
−
3
x
=
−
3
y
+
9
−
3
x
−
3
=
−
3
y
+
9
−
3
(Divide both sides by -3)
x
=
y
−
3

Step: Substitute
y
−
3
for
x
in
2
x
−
7
y
=
−
14
:
2
x
−
7
y
=
−
14
2
(
y
−
3
)
−
7
y
=
−
14
−
5
y
−
6
=
−
14
(Simplify both sides of the equation)
−
5
y
−
6
+
6
=
−
14
+
6
(Add 6 to both sides)
−
5
y
=
−
8
−
5
y
−
5
=
−
8
−
5
(Divide both sides by -5)
y
=
8
5

Step: Substitute
8
5
for
y
in
x
=
y
−
3
:
x
=
y
−
3
x
=
8
5
−
3
x
=
−
7
5
(Simplify both sides of the equation)

Answer:
X=-7/5 and y= 8/5
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The Coffee Counter charges ​$8 per pound for Kenyan French Roast coffee and ​$7 per pound for Sumatran coffee.
spayn [35]

Answer:

Kenyan French Roast coffee x=6

Sumatran coffee y=14

Step-by-step explanation:

x+y=20     blend coffee

8x+7y=7.3(20)     selling price

x+y=20 ⇒ x=20-y

substitute in the equation:

8x+7y=7.3(20)

8(20-y)+7y=7.3(20) for 20 pound blend

160-8y+7y=146

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y=14 pond

x+y=20

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4 0
4 years ago
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