Place the x (1.5) and y (5) values into the equation, and solve. If the statement you get is true, it is a solution.
2x - y = -1
2(1.5) - 5 = -1
3 - 5 = -1
-2 ≠ -1
Since this is a false statement, negative 2 is not equal to -1, the ordered pair is NOT a solution. I hope this helps and have a great day!
Given problems;
1. Factor; x²+5x-24
To factor this equation, we must understand that this is a quadratic equation.
A quadratic equation usually has two roots.
x²+5x-24 = 0
- Then find two numbers whose product is -24 and their sum is +5
the numbers are +8 and -3
then replace 5x with the number;
x² + 8x - 3x - 24 = 0
Now factorize;
x(x +8) - 3(x + 8) = 0
(x-3)(x+8) = 0
Factoring gives (x-3)(x+8)
2. Factor 2n² - 5n -3;
Equate to zero;
2n² - 5n -3 = 0
Find the number whose sum is -5 and the product gives -6( 2 x -3);
the number is -6 and +1;
2n² - 6n + n -3 = 0
2n(n-3) + 1(n-3) = 0
(2n + 1)(n-3) = 0
The factor of the equation is (2n + 1)(n-3).
5.35 i’m not sure but hope this helps
Write the Inequality
A number b times -16 is greater than 5.
A number b is a variable... b.
Times means multiply.
-16 is what you are multiplying b by.
Is greater than means the greater than symbol.
5 is what the past statements are greater than.
So this is the inequality.
-16b > 5
Solve the Inequality
You need to isolate b.
To do this, divide each side by -16. You do this because b is being multiplied by -16. You know that any number divided by that number equals 1, canceling the number.
-16b ÷ -16 = b
5 ÷ -16 = -5/16
So you get b > -5/16
So to make the inequality true, b must be more than -5/16.
Or as an inequality...
b > -5/16
