The value of ordered pair of (x,y) is (-2, -3)
<h3>How to solve the equation by substitution method ? </h3>
x - 5y = 13
4x - 3y = 1
Solve the equation for x
x - 5y = 13
Move '5y' to R.H.S and change it's sign
x=13+5y
Substitute the given value of X into the equation
4x - 3y = 1
4(13+5y)-3y = 1
Solve the equation for y
distribute 4 through the parentheses
52+20y -3y =1
Collect like terms
52+17y = 1
Move constant to R.H.S and change it's sign
17y = 1 - 52
Calculate
17y = - 51
Divide both sides of the equation by 17
17y/17 = -51/17
Calculate
y = -3
Now, substitute the given value of y into the equation
x = 13 + 5y
x= =13+5x(-3)
Solve the equation for x
Multiply the numbers
= 13 - 15
Calculate the difference
= -2
The possible solution of the system is the ordered pair
( x , y )
( x , y ) = ( - 2 , - 3 )
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Check if the given ordered pair is the solution of the system of equation
-2-5×(-3)=15
4×(-2)-3×(-3)=1
Simplify the equalities
13 = 13
1=1
Since all of the equalities are true, the ordered pair is the solution of the system
( x , y ) = ( - 2 , - 3 )
Therefore the value of ordered pair of (x,y) is (-2, -3)
The complete question is : Solve the system by substitution. x−5y=13 4x−3y=1 Enter your answer as an ordered pair (x,y).
To learn more about substitution method refer to :
brainly.com/question/26094713
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