solve
2x + 3y =1/10
and 3x + 2y=1/8
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Answer:
ok
Step-by-step explanation:
The cereal crops grown in India are shown. Select the correct option about correct order of
cereal crops grown maximum.
(1) Wheat (2) Jowar (3) Paddy
(A) 3, 1, 2 (B) 2, 3, 1 (C) 2, 1, 3 (D) 1, 3, 2
Answered by
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Use the elimination method to solve the system of equations :
2x + 3y = 1/10
3x + 2y = 1/8
Equation 1 is in the correct ax + by format .
Equation 2 is in the correct ax + by format .
Step 1 - Multiply Equation 1 by 3 :
3 * ( 2x + 3y = 1 / 10 ) -- > 6x + 9y = 0.3
Step 2 - Multiply Equation 2 by 2 :
2 * ( 3x + 2y = 1 / 8 ) -- > 6x + 4y = 0.25
Step 3 - subtract revised Equation 2 from revised Equation 1 :
6x + 9y = 0.3 - ( 6x + 4y = 0.25 )
9y - 4y = 0.3 - 0.25
Step 4 - simplify and solve for y :
5y = 0.05
y = 0.05/5
y = 0.01
Step 5 - now that we have solved for y , let's rearrange Equation 1 to solve for x:
2x = 0.1 - 3y
Divide each side by 2
2x /2 = 0.1 - 3y/2
x = 0.1 - 3y/2
Step 6 - we determined y = 0.01 .
Plug it into our rearranged equation 1 :
x = 0.1 - 3( 0.01 )/2
x = 0.1 - 0.03/2
x = 0.07/2
x = 0.035
Hope this would help
2x + 3y = 1/10
3x + 2y = 1/8
Equation 1 is in the correct ax + by format .
Equation 2 is in the correct ax + by format .
Step 1 - Multiply Equation 1 by 3 :
3 * ( 2x + 3y = 1 / 10 ) -- > 6x + 9y = 0.3
Step 2 - Multiply Equation 2 by 2 :
2 * ( 3x + 2y = 1 / 8 ) -- > 6x + 4y = 0.25
Step 3 - subtract revised Equation 2 from revised Equation 1 :
6x + 9y = 0.3 - ( 6x + 4y = 0.25 )
9y - 4y = 0.3 - 0.25
Step 4 - simplify and solve for y :
5y = 0.05
y = 0.05/5
y = 0.01
Step 5 - now that we have solved for y , let's rearrange Equation 1 to solve for x:
2x = 0.1 - 3y
Divide each side by 2
2x /2 = 0.1 - 3y/2
x = 0.1 - 3y/2
Step 6 - we determined y = 0.01 .
Plug it into our rearranged equation 1 :
x = 0.1 - 3( 0.01 )/2
x = 0.1 - 0.03/2
x = 0.07/2
x = 0.035
Hope this would help
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