pls help me with this one its a simultaneous equation
Answers
Answer:
Step-by-step explanation:
Multiplying equation one by 3 we get
x + 3y = 10 ___________(1)
Multiplyinng 2nd equation by 4 we get
8x + y = 11 ---------------------(2)
Now multiplying equation 1 by 8 on both side
8x + 24y = 80 --------------------- (3 )
Subtracting equation 2 from equation 3
8x + 24y - (8x + y ) = 80 -11
24y - y = 69
23y = 69
Y = 3
put value y = 3 in equation 1 we get
x + 3 (3) = 10
x + 9 = 10
x = 10 -9
x = 1
Solutions are ( 1, 3)
Step-by-step explanation:
1/3x + y =10/3 (1)
2x + 1/4y = 11/4 (2)
Multiplying (1) by 3 we get ,
x + 3y = 10 (3)
Multiplying (2) by 4 we get,
8x + y = 11 (4)
Now, to eliminate y we will multiply (4) by 3
24x + 3y = 33 (5)
By Elimination method ,
Subtracting (3) from (5)
24x + 3y - ( x + 3y) = 33 - 10
24x + 3y - x - 3y = 23
23x = 23
x = 23/23
• x = 1
Putting the value of x in (3)
x + 3y = 10
1 + 3y = 10
3y = 10-1
3y = 9
y = 9/3
• y = 3
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