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mart [117]
2 years ago
11

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

t to x from the second equation is substituted into the first equation.
3x + 2y = −21
x − 3y = 4

A. 3(3y + 4) + 2y = −21
B. 3(−3y + 4) + 2y = −21
C. 3x + 2(3y + 4) = −21
D. 3x + 2(−3y + 4) = −21
Mathematics
1 answer:
KATRIN_1 [288]2 years ago
7 0

Answer:

B

Step-by-step explanation:

when you subtact 3y on both sides

you get x = -3y+4

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<img src="https://tex.z-dn.net/?f=%20-%2032%20%2B%204%20x%20%3D%205%28%20-%207%20%2B%20x%29" id="TexFormula1" title=" - 32 + 4 x
harkovskaia [24]

\bf -32+4x=5(-7+x)\implies -32+4x=\stackrel{\textit{distributing}}{-35+5x} \\\\\\ \stackrel{\textit{subtracting 4x to both sides}}{-32=-35+x}\implies \stackrel{\textit{adding 35 to both sides}}{3=x}

7 0
3 years ago
Can someone step by step explain the answer please
Vinvika [58]

Answer: z = \sqrt{10}

Step-by-step explanation:

To find <em>z</em>, you must set up a proportion to solve.

To find the altitude of a special right triangle, the formula is:

\frac{a}{x} =\frac{x}{b}

You can use <em>5</em> as <em>a</em> and <em>2</em> as <em>b</em> to complete the proportion:

\frac{5}{z} =\frac{z}{2}

Next, to solve:

<u>Step 1</u>: Cross-multiply.

\frac{5}{z} =\frac{z}{2}

(5)*(2) = z*z

10 = z²

<u>Step 2</u>: Take square root.

10 = z²

√10 = z

I hope this helps!

8 0
2 years ago
Aaaaaaaaaaaaaaaaaaaaa
tigry1 [53]

Step-by-step explanation:

what's the question about

8 0
2 years ago
When water is released from the Kinzua Dam it is released gradually. The water level in Kinzua reservoir changes at an average r
Oliga [24]

Answer:

Option D

- 1916 inches

Step-by-step explanation:

To easily solve this problem, we apply a rule of three

-916 inch ---------------------------------- 3 hours

x inch ---------------------------------- 8 hour

x = 916 inc * (8 hours / 3 hours)

x =  2442.66 inch

The nearest number for this value is option D

(Lets remember we are talking about average values)

3 0
3 years ago
Simplify (please help)
valkas [14]

Answer:

\frac{8x^{3}y^{6}  }{z^{3} }

Step-by-step explanation:

4 0
2 years ago
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