Answer:
x = 11/3 = 3 2/3
y = 13/3 = 4 1/3
Step-by-step explanation:
Here, we want to solve the system of equations simultaneously
x + y = 8
2x -3 = y
From the second equation, we have an equation for y
we can simply proceed to substitute this into the first equation
x + 2x - 3 = 8
3x - 3 = 8
3x = 8 + 3
3x = 11
x = 11/3
Recall;
y = 2x - 3
y = 2(11/3) - 3
y = 22/3 - 3
y = (22-3(3))/3
y = (22-9)/3 = 13/3
Given:
Length of the rectangle =
Width of the rectangle =
The perimeter of the rectangle is less than 140.
To find:
The inequality for the given situation and solve it.
Solution:
We have,
We know that, the perimeter of a rectangle is
It is given that the perimeter of the rectangle is less than 140.
Divide both sides by 4.
Therefore, the correct option is A because the sign of inequality is < and the solution of inequality is .
Answer:
Step-by-step explanation:
2) a(a + b) + b(a - b) - 2ab / a² - b²
= a² + ab + ab - b² - 2ab / a² - b²
= a² - b² / a² - b²
= 1
3) [x - 1/(x - 1)(x - 2)] + [x - 2/(x -2)(x - 3)]
= (1 / x - 2) + (1 / x - 3)
= x - 3 + x - 2 / (x - 2)(x - 3)
= 2x - 5 / x² - 5x + 6