Answer:
Check the solution in both equations. The solution is ( − 1, 2). Solve the system by graphing: {− x + y = 12 x + y = 10 . Solve the system by graphing: {2x + y = 6 x + y = 1 . In all the systems of linear equations so far, the lines intersected and the solution was one point.
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The solutions are 
.
Solution:
Given equation:
Add 
on both sides.
-------- (1)
(given) -------- (2)
Equate (1) and (2).
Add 
on both sides.
Add 5 on both sides.
Divide by 5 on both sides, we get
Taking square root on both sides, we get
Substitute 
in (1).
Substitute 
in (1).
Therefore the solutions are .
Option C is the correct answer.
Answer:
Length = 15 cm, width = 12 cm, Perimeter = 54 cm
Step-by-step explanation:
The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm².
Length = 5x
Breadth = 4x
Area of rectagle,
A = bl
180 = 5x × 4x
180 = 20x²
x² = 9
x = 3
Length = 5x = 5(3) = 15 cm
Width = 4x = 4(3) = 12 cm
Perimeter of rectangel,
P = 2(l+b)
= 2(15+12)
= 54 cm
Hence, this is the required solution.
|____|____|____|____|____|____|____|____|
0 1/16 2/16 3/16 4/16 5/16 6/16 7/16 8/16
| _________________| _________________|
0 1/4 2/4
