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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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3 years ago
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Deffense [45]

Answer:

What equation will model the situation?

✔ x/3 = 4

How many servings did the original recipe make?

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Step-by-step explanation:

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3 years ago
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Assume that 2 cards are drawn from a standard 52-card deck. Find the following probabilities.
topjm [15]

Answer:

Step-by-step explanation:

WITHOUT replacement of first card drawn:

P(a 10 is drawn) = 13/52 = 1/4

P(the next draw is a 10) = 12/52 = 3/13

P(drawing two 10s without replacement of the first draw) = (1/4)(3/13) = 3/52

WITH replacement of first card:

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7 0
3 years ago
Are the ratios 16:9 and 2:1 equivalent?<br> yes<br> no
yarga [219]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
I need help please.
makkiz [27]

Answer:

see explanation

Step-by-step explanation:

Using the rules of radicals/ exponents

a^{m} × a^{n} = a^{(m+n)}

a^{\frac{m}{n} } ⇔ \sqrt[n]{a^{m} }

Simplifying each term

7\sqrt{x^{3} } = 7x^{\frac{3}{2} }

x\sqrt{9x}

= x × \sqrt{9} × \sqrt{x}

= x × 3 × x^{\frac{1}{2} }

= 3 × x^{(1+\frac{1}{2}) }

= 3x^{\frac{3}{2} }

Subtracting the 2 simplified like terms, that is

7x^{\frac{3}{2} } - 3x^{\frac{3}{2} }

= 4x^{\frac{3}{2} } ← return to radical form

= 4\sqrt{x^{3} }

8 0
3 years ago
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