Answer:
The solution is B) (3, 1).
Step-by-step explanation:
For the system of equations given, there are few different ways to solve. Since the second equation y = 2x - 5 is already solved for 'y', we can use substitution and place the expression '2x - 5' in for 'y' in the first equation and solve:
2x - 5 + 2 = x
We can also solve for 'y' in the first equation and then set the two equations equal to each other:
y + 2 - 2 = x -2 or y = x -2 so, 2x -5 = x - 2
Either way, when we solve for 'x', we get:
2x - 3 = x or -3 = -x, so x = 3
Plugging in the value of 'x' into the second equation:
y = 2(3) - 5 or y = 6 - 5 or y = 1
The ordered pair (x, y) would be (3, 1).
Answer:
x = 7
Step-by-step explanation:
x^2 + 10x = - 5
To complete the square, we need to add a constant on the
left side that makes the expression on the right a perfect square trinomial. We
need to add the same value on the right side to keep the equation equal. So,
x^2 + 10x + a = -5 + a
where a is the square of one-half the coefficient of x, therefore:
a = (10 / 2)^2 = 25
x^2 + 10x + 25 = -5 + 25
(x + 5)^2 = 20
Taking the square root of both sides:
x + 5 = ± 4.47
x = -5 ± 4.47
<span>x = -9.47, -0.53</span>
Ans: He will take 4 1/2 days to harvest 10 1/2 acres.