Question

Solve the simultaneous equations x+6y=18 x+4y=14​

Answer 1

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

Explanation:

Answer 2

(6, 2 )

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 )