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bazaltina [42]
2 years ago
13

What is the solution to this system of equations?

Mathematics
1 answer:
mixas84 [53]2 years ago
5 0

Answer:

(-2,4)

Step-by-step explanation:

The solution is the point at which the two lines intersect, (-2,4).  That point is the only one that satisfies (works) in both equations:

y = x + 6

4 = -2 + 6

and

y = -0.5x + 3

4 = -0.5(-2) + 3

4 = 1 + 3

====

You can also solve it algebraically:

y = x + 6

y = -0.5x + 3

-0.5x + 3 = x + 6   [Use the value of y from the second equation in the first equation]

-1.5x = 3

x = -2

Use this is y = -2 + 6:

y = 4

(-2,4)

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Write and solve the equation and then check your answer. Which statements are true about the equation and its solution? Check
ch4aika [34]

The correct equation is n - 31 = 52

To check the solution, substitute 83 for the variable in the equation

This is an addition problem.

To solve the equation, add 31 to both sides.

Step-by-step explanation:

A number decreased by thirty-one is fifty-two

That means:

  • Subtract 31 from a number
  • The difference equal 52

Assume that the number is n

∵ The number is n

∵ When n decreased by 31 the answer is 52

∴ The equation is n - 31 = 52

The correct equation is n - 31 = 52

∵ n - 31 = 52

- To find n add 31 to both sides of the equation

∴ n - 31 + 31 = 52 + 31 ⇒ addition property

∴ n = 83

-To check the equation substitute n by 83 in the left hand side, the

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∵ Left hand side = 83 - 31 = 52

∵ Right hand side = 52

∴ n = 83 is correct answer

To check the solution, substitute 83 for the variable in the equation

This is an addition problem.

To solve the equation, add 31 to both sides.

Learn more:

You can learn more about solving equation in one variable in brainly.com/question/11306893

#LearnwithBrainly

7 0
3 years ago
Read 3 more answers
Simplify expression X^2+x-2/x^3-x^2+2x-2
professor190 [17]

Answer:


=\frac {x+2}{x^2+2} is the simplest form of given expression.


Step-by-step explanation:

The given question is \frac{x^2+x-2}{x^3-x^2+2x-2}


To solve the problem we have to group or split middle term and then factorise


\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}


Taking x^2 common from first two terms of denominator and 2 from next two terms


= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}


Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms


= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}



=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}


Now cancel out x-1 from both numerator and denominator we get


=\frac {x+2}{x^2+2} is the required simplest form.



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3 years ago
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Answer:

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Step-by-step explanation:

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