Find the solution to the following system of linear equations: 0.2x + 0.3y = 1.2
0.1x – 0.1y = 0.1
a)
(1,2)
b)
(2,3)
c)
(3,2)
d)
(2,1)
Correct answer is option 'C'. Can you explain this answer?

Question

Find the solution to the following system of linear equations:0.2x + 0.3y = 1.20.1x &#8211; 0.1y = 0.1&#8203;a)(1,2)b)(2,3)c)(3,2)d)(2,1)Correct answer is option 'C'. Can you explain this answer?

Answer

0.2x + 0.3y = 1.2
2x+3y=12 …..(1)
0.1x – 0.1y = 0.1x-y=1 ….(2)
From (2), x=1+y
Substituting the values of x in (1)
2(1+y)+3y=12
2+2y+3y=12
5y=10
y=2
x=1+2= 3

Answer

0.1x - 0.1y = 0.1 => x - y = 1
0.2 + 0.3 y = 1.2
On adding and subtracting 0.2y we get,
0.2(x - y) + 0.5y = 1.2
=> 0.2 + 0.5y = 1.2
=> y = 1.0/0.5 = 2
=> x = 1 + y = 3

Answer

Given eq... 0.2x+0.3y=1.2.........(I) Nd 0.1x-0.1y=0.1...........(2) now, multiplying eq (I) by 3... 0.3x-0.3y=0.3......(3)... adding eq (I) and (3)... 0.2x+0.3y=1.2.. 0.3x-0.3y =0.3.... =>x= 3.... put the value of x in eq (2).... 0.3 -0.1=0.1y... =>y= 2..... hence, x=3 Nd y= 2..........

Answer

X is 3 y is 2 solution nikalo sab smjh aajayega Nothing to explain

Answer

0.2x + 0.3y = 1.2
2x+3y=12 …..(1)
0.1x – 0.1y = 0.1x-y=1 ….(2)
From (2), x=1+y
Substituting the values of x in (1)
2(1+y)+3y=12
2+2y+3y=12
5y=10
y=2
x=1+2= 3

Answer

To find the solution to the given system of linear equations, let's solve them simultaneously.

Given equations:
0.2x + 0.3y = 1.2 ...(1)
0.1x + 0.1y = 0.1 ...(2)

Multiplying equation (2) by 10 to eliminate the decimal points:
10(0.1x + 0.1y) = 10(0.1)
1x + 1y = 1

Simplifying equation (2):
x + y = 1 ...(3)

Now, we have two equations:
0.2x + 0.3y = 1.2 ...(1)
x + y = 1 ...(3)

We can solve these equations using the method of substitution or elimination.

Using the method of substitution:
From equation (3), we have:
x = 1 - y

Substituting this value of x in equation (1):
0.2(1 - y) + 0.3y = 1.2
0.2 - 0.2y + 0.3y = 1.2
0.3y - 0.2y = 1.2 - 0.2
0.1y = 1
y = 1/0.1
y = 10

Substituting the value of y in equation (3):
x + 10 = 1
x = 1 - 10
x = -9

Therefore, the solution to the system of linear equations is:
x = -9 and y = 10

Hence, the correct answer is option 'C' (x = -9, y = 10).

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