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steposvetlana [31]
3 years ago
13

What equation is solved by the graphed systems of equations? Two linear equations that intersect at the point negative 1, negati

ve 4.
Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

To solve this problem, we have to manually solve for the value of x for each choices or equations. The correct equation will give a value of -1 since the linear equations intersects at point (-1, -4).

<span>1st: 7x + 3 = x + 3</span>

7x – x = 3 – 3

6x = 0

<span>x = 0                (FALSE)</span>

 

<span>2nd: 7x − 3 = x – 3</span>

7x – x = 3 – 3

6x = 0

<span>x = 0                (FALSE)</span>

           

<span>3rd: 7x + 3 = x − 3</span>

7x – x = - 3 – 3

6x = -6

<span>x = -1               (TRUE)</span>

 

<span>4th: 7x − 3 = x + 3</span>

7x – x = 3 + 3

6x = 6

<span>x = 1                (FALSE)</span>

 

Therefore the answer is:

<span>7x + 3 = x − 3</span>

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Step-by-step explanation:

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Jess is 12 years less than half as old as Mac. The sum of their age is 87. How old is each person?
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Answer:

The age of each person is:

  • Jess is <u>21</u> years old.
  • Mac is <u>66</u> years old.

Step-by-step explanation:

To solve this problem you must make two equations. First, we name Jess and Mac as variables:

j = Jess age.

m = Mac age.

Now we make the equations, the first equation has the information "Jess is 12 years less than half as old as Mac":

1. j=(\frac{m}{2})-12

The second equation has the information "The sum of their age is 87":

2. j+m=87

Now, we replace the first equation in the second one:

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And we operate:

  • \frac{m-24}{2} +m=87
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We clear the variable m:

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How we know Mac's age is 66 years old, we can identify Jess' age with the second equation:

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We replace the value of m:

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And clear the variable j:

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In the end, Jess's age is 21 years old.

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Step-by-step explanation:

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Step-by-step explanation:

Consider the provided information.

The negative exponent rule is the rule which allows to change the sign of an exponent.

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According to negative exponent rule: A negative exponents in the numerator moved to the denominator and become positive exponents.

If A negative exponents in the denominator moved to the numerator and become positive exponents.

Hence, the required statement is: The rule which allows us to change the sign of an exponent is called the <u>negative exponent</u> rule.

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