Answer:
D
Step-by-step explanation:
Given the 2 equations
2x + 3y = 11 → I(1)
y = x - 3 → (2)
Substitute y = x - 3 into (1)
2x + 3(x - 3) = 11 ← distribute parenthesis and simplify left side
2x + 3x - 9 = 11
5x - 9 = 11 ( add 9 to both sides )
5x = 20 ( divide both sides by 5 )
x = 4
Substitute x = 4 into (2) for corresponding value of y
y = 4 - 3 = 1
Solution is (4, 1 ) → D
The correct ordered pairs for the equations 2x+3y=11, y=x-3 is (4,1)
In the substitution method we have to calculate the value of one variable by putting the value of another variable in terms of first variable.
We are having two equations
2x+3y=11.......1
y=x-3........2
Put the value of y from2 in 1
2x+3(x-3)=11
2x+3x-9=11
5x=20
x=4
put the value of x=4 in 2
y=4-3
y=1
Hence the ordered pairs becomes (4,1)
Learn more about substitution method at https://brainly.com/question/22340165
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