If R is the midpoint of PS, then PR = RS -- (1)
Also, PR + RS = PS -- (2)
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PR + RS = PS
7x + 23 + 13x - 19 = PS
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Now, PR = PS
7x + 23 = 13x - 19
7x - 13x = -19 - 23
-6x = -42
x = -42/-6
x = 7
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PS = 7x + 23 + 13x - 19
PS = 7(7) + 23 + 13(7) - 19
PS = 49 + 23 + 91 - 19
<u>PS </u><u>=</u><u> </u><u>1</u><u>4</u><u>4</u><u> </u>
Hope it helps!
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
<u>Given</u>:
The given equations are
and 
We need to determine the pair of numbers that is a member to the system of equations.
<u>Pair of numbers:</u>
The pair of numbers can be determined by solving the system of equations.
Let us use the substitution method to solve the equations.
Substituting
in the equation
, we have;




Thus, the value of x is 1.
Substituting x = 1 in the equation
, we get;



Thus, the value of y is 7.
Hence, the pair of numbers that is a member of both the equations are (1,7)
Answer:
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Step-by-step explanation: