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Answer:
What will be the answer If the simultaneous equations are given as 13x - 6y = 20 , 7 x + 4y = 18, then the values of x , y are respectively?
13x - 6y = 20———(1)
7 x + 4y = 18———-(2 )
Multiplying (1) by 2 and (2) by 3
26x -12y = 40 ——3
21x+12y = 54 ——4
Adding (3) & (4)
47 x = 94
x = 2 ; y = 1
Step-by-step explanation:
Answer:
(6, 2 )
Step-by-step explanation:
x + 6y = 18 ( subtract 6x from both sides )
x = 18 - 6y → (1)
x + 4y = 14 ( subtract 4y from both sides )
x = 14 - 4y → (2)
Substitute x = 14 - 4y into (1)
14 - 4y = 18 - 6y ( add 6y to both sides )
14 + 2y = 18 ( subtract 14 from both sides )
2y = 4 ( divide both sides by 2 )
y = 2
Substitute y = 2 into either of the 2 equations and evaluate for x
Substituting into (1)
x = 18 - 6(2) = 18 - 12 = 6
solution is (6, 2 )
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