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MrRa [10]
3 years ago
11

What is the subsitution for 2x=12 &x-5y=-29

Mathematics
1 answer:
weeeeeb [17]3 years ago
4 0
Answer: (6, 7)         x = 6
                                y = 7

Isolate x in the first equation.
2x = 12                   Divide by 2 to both sides
x = 6                       Isolated x!

Substitute in (6) for x in the second equation.
(6) - 5y = -29         Remove parenthesises
6 - 5y = -29           Subtract 6 from both sides
-5y = -35               Divide by -5 to both sides      
y = 7                      Isolated y!

With x = 6 and y = 7:
(6, 7)


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Find the real solution(s) of the equation. Round your answer to two decimal places when appropriate. 5x^6=30
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Answer:

The real solutions are

x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35

Step-by-step explanation:

The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.

To find the real solutions of the equation 5x^6=30:

\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x^6}{5}=\frac{30}{5}\\\\\mathrm{Simplify}\\\\x^6=6\\\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)}\\\\x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35

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