Which of the following ordered pairs are solutions to the system of equations below? y = 2x + 1 and y = 4x – 3 (1,4) (4,5) (2,5) (3,7)
Explanation:
Hey there!
Given eqautions are:
y = 2x + 1......... (i)
y = 4x - 3...........(ii)
Putting eqaution (ii) in eqaution (i), we get;
4x - 3 = 2x + 1
~ Keep like terms on same side.
4x - 2x = 1+3
~ Perform operations. ( +, -, *, /)
2x = 4
x= 4/2
Therefore, X= 2.
Putting the value of X in eqaution (i)
y = 2x+1
y = 2*2+1
Therefore, y= 5.
Therefore, the ordered pair is (2,5).
Hope it helps...