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c. both (2,5) and (4,6)
a. only (2,5)
b. only (4,6)
c. both (2,5) and (4,6)
d. neither
-3x + 4y = 14
4y = 3x + 14 (added 3x to both sides)
y = (3/4)x + 14/4 (divided both sides by 4)
Now to find ordered pairs (x,y) that solve this, let x = some value, A, then plug it into the right-hand side. The value you calculate will be the corresponding y value (B) and together, those values make an ordered pair (A, B) that solves the equation.
Example: let x = 1. y = (3/4)(1) + 14/4 = 17/4 —> (1, 17/4) is an ordered pair that solves the equation.
There are an infinite number of such pairs since you can let x vary as you please.
Which ordered pair is a solution of the equation y − 3x − 4?
Hence (x, y) is the notation used to express ordered pairs for the equation y = 3x - 4. The specifically ordered pairs from the values above which satisfy the equation are (1, -1), (0, -4), (3, 5), and (-2, -10).
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