Stacy owes $40 on her credit card. After she made a payment, her new balance was $10. What was the amount of her
2 answers:
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Answer:
C
Step-by-step explanation:
The table shows a linear function.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (2, 7) ← 2 ordered pairs from the table
m = = 4, thus
y = 4x + c ← is the partial equation
To find c substitute any ordered pair into the partial equation
Using (1, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 4x - 1 → C
9514 1404 393
Answer:
(x, y) = (-1, -3)
Step-by-step explanation:
The equations are "consistent" and "not dependent." This will be the case whenever the ratios of x- and y-coefficients are different.
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We can solve this by "elimination" by multiplying the first equation by -4 and adding the result of the second equation being multiplied by 7.
-4(2x -7y) +7(7x -4y) = -4(19) +7(5)
-8x +28y +49x -28y = -76 +35 . . . . eliminate parentheses
41x = -41 . . . . . simplify
x = -1 . . . . . . . divide by 41
Using the second equation, we find y to be ...
(7x -5)/4 = y = (7(-1) -5)/4 = -12/4 = -3
So, the solution is (x, y) = (-1, -3).
