Pattern x starting number 10 rule add 6
1 answer:
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Answer:
-The ordered pair (-1, 5) is a solution to the first equation because it makes the first equation true.
-The ordered pair (-1, 5) is a solution to the second equation because it makes the second equation true.
-The ordered pair (-1, 5) is a solution to the system because it makes both equations true
Step-by-step explanation:
<u><em>The correct question is</em></u>
Which statements are true about the ordered pair (−1, 5) and the system of equations?
x+y=4
x−y=−6
we know that
If a ordered pair is a solution of a equation, then the ordered pair, must satisfy the equation (makes the equation true)
If a ordered pair is a solution of the system of equations, then the ordered pair, must satisfy the equations of the system (makes both equations true)
we have
----> first equation
----> second equation
step 1
<u><em>Verify if the ordered pair satisfy the first equation </em></u>
Substitute the values of x and y of the ordered pair in the first equation
For x=-1, y=5
---> is true
The ordered pair satisfy the first equation
so
<em>The ordered pair is a solution to the first equation because it makes the first equation true</em>
step 2
<u><em>Verify if the ordered pair satisfy the second equation </em></u>
Substitute the values of x and y of the ordered pair in the second equation
For x=-1, y=5
---> is true
The ordered pair satisfy the second equation
so
<em>The ordered pair is a solution to the second equation because it makes the second equation true</em>
therefore
<em>The ordered pair (-1, 5) is a solution to the system because it makes both equations true</em>
Equivalent expression is the expression which is equal to the original equation but the way of representation is different. The equivalent expression of the given expression are,
Given information
The given expression in the problem is,
Equivalent expression is the expression which is equal to the original equation but the way of representation is different.
The given equation is,
As the product of the negative and positive is negative. Thus solve the equation by opening the bracket.
Check all the option,
- 1) The expression given in the option 1 is,
Solve it further,
The result is equal to the result of the given expression. Thus the expression of the option 1 is equivalent to the expression given in the problem.
- 2) The expression given in the option 2 is,
Solve it further,
The result is not equal to the result of the given expression. Thus the expression of the option 2 is not equivalent to the expression given in the problem.
- 3) The expression given in the option 3 is,
Solve it further,
The result is equal to the result of the given expression. Thus the expression of the option 3 is equivalent to the expression given in the problem.
- 4) The expression given in the option 4 is,
The expression of the option 4 is not equivalent to the expression given in the problem.
- 5) The expression given in the option 4 is,
The expression of the option 5 is not equivalent to the expression given in the problem.
Hence the equivalent expression of the given expression are,
Learn more about the equivalent expression here;