Answer:
<em>x = 1</em>
<em>y = 1</em>
Step-by-step explanation:
<u>System of Equations</u>
We are given the system of equations:
2x + y = 3
x = 2y - 1
Substituting x in the first equation:
2(2y - 1) + y = 3
Operating:
4y - 2 + y = 3
5y = 3 + 2
y = 5/5 = 1
y = 1
Since:
x = 2y - 1
Then:
x = 2(1) - 1
x = 1
Solution:
x = 1
y = 1
Answer:
The height of the parallelogram is 2.11 cm.
Step-by-step explanation:
Area of the parallelogram is equal to multiplication of base and height.
Given:
Parallelogram has base of 4.5 cm.
Are of the parallelogram is 9.495 cm².
Equation is 4.5x=9.495
Calculation:
(a)
Are of the parallelogram is the product of base length and height of the parallelogram.
Area of the parallelogram is expressed as follow:
A=lh
Substitute 9.495 cm² for A and 4.5 cm for l in above equation as follows:
9.495=4.5h …… (1)
Now relate the equation (1) and given equation. So, here x is nothing but the height of the parallelogram.
(b)
From equation (1), height of the parallelogram is calculated as follows:
9.495=4.5h

h=2.11 cm
Thus, the height of the parallelogram is 2.11 cm.
30 is the lcm of both the numbers