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Virty [35]
3 years ago
10

Which ordered pair is the best estimate for the solution of the system of equations? y=−2/5x−2y=5x+1

Mathematics
1 answer:
lutik1710 [3]3 years ago
4 0

Option a: (-0.5,-1.75) is the solution to the system of equations.

Explanation:

The equations are y=-\frac{2}{5} x-2 and y=5 x+1

Equating these two equations, we have,

-\frac{2}{5} x-2=5 x+1

Taking LCM and multiplying both sides by 5, we get,

-2 x-10=25 x+5

Simplifying , we get,

\begin{aligned}-10-5 &=25 x+2 \\-15 &=27 x \\-\frac{15}{27} &=x \\-\frac{5}{9}  &=x\end{aligned}

Substituting the value of x in y=5 x+1, we get,

\begin{aligned}&y=5\left(-\frac{5}{9}\right)+1\\&y=-\frac{25}{9}+1\\&y=-\frac{16}{9}\end{aligned}

Thus, the solution is \left(-\frac{5}{9},-\frac{16}{9}\right)

Changing the solution from fraction to decimal, we get, (-0.556,-1.778)

Thus, the solution is (-0.5,-1.75)

Hence, option a is the correct answer.

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marta [7]

Answer:

6/7

Step-by-step explanation:

apple the rule  \dfrac{{-} a}{{-}b}=\dfrac{a}{b}

\implies \dfrac{{-}6}{{-}7}=\dfrac67

7 0
3 years ago
2x+8=y if x=6 then what is the value of y?
Norma-Jean [14]

Answer:

20

Step-by-step explanation:

If x = 6 the problem should look like this:

2 (x) + 8 = y -> place the 6 where x is.

2 (6) + 8 = y -> remember () means to multiply.

2 times 6 , add 8 , equals y

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20 = y

I hope this helps!!

7 0
2 years ago
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Margarita [4]

Answer

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Step-by-step Explanation

\huge \frac{12 {x}^{3} {y}^{6}   {w}^{5} }{ 2{x}^{4} {y}^{2}   {w}^{3} }  \\  \\  \huge= \frac{6 {x}^{3} {y}^{6}   {w}^{5} }{{x}^{4} {y}^{2}   {w}^{3} }  \\  \\ \huge = 6 {x}^{3 - 4}  {y}^{6 - 2}  {w}^{5 - 3}  \\  \\ \huge= 6 {x}^{ - 1}  {y}^{4}  {w}^{2}  \\  \\ \huge =  \frac{ 6   {y}^{4}  {w}^{2} }{{x}^{1}} \\  \\ \huge =  \frac{ 6   {y}^{4}  {w}^{2} }{{x}}

7 0
4 years ago
Read 2 more answers
Complete the expanded notation for 64,375
NISA [10]

There are several expanded forms for a decimal number. Pick the one that matches your requirements.

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64,375 = 6×10,000 +4×1,000 +3×100 +7×10 +5×1

64,375 = 6×10⁴ +4×10³ +3×10² +7×10¹ +5×10⁰

3 0
3 years ago
What is 116.37 to the nearest foot.?
tatuchka [14]
I'm assuming you're meaning 116.37 inches. 116.37 in = 9.6975 feet

Answer = 10 feet
3 0
3 years ago
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