please solve...... simultaneous equation
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(1) 2x +1/7 + 5y - 3/3 = 12
3(2x + 1) + 7(5y - 3) = 21 * 12
6x + 3 + 35y - 21 = 252
6x + 35y - 18 = 252
6x + 35y = 252 + 18
6x + 35y = 270
6x = 270 - 35y
x = 270 - 35y/6 -------------------- (1)
(2) 3x + 2/2 - 4y+3/9 = 13
9(3x + 2) - 2(4y + 3) = 13 * 18
27x + 18 - 8y - 6 = 234
27x - 8y + 12 = 234
27x - 8y = 234 - 12
27x - 8y = 222 --------------- (2)
Substitute (1) in (2), we get
27(270 - 35y/6 - 8y = 222
9(270 - 35y)/2 - 8y = 222
9(270 - 35y) - 16y = 444
2430 - 315y - 16y = 444
-331y = -1986
y = 1986/331
y = 6 ------------------------------------ (3)
Substitute (3) in (2), we get
27x - 8y = 222
27x - 8 * 6 = 222
27x - 48 = 222
27x = 222 + 48
27x = 270
x = 270/27
x = 10.
Therefore the value of x = 10 & y = 6.
Hope this helps!
3(2x + 1) + 7(5y - 3) = 21 * 12
6x + 3 + 35y - 21 = 252
6x + 35y - 18 = 252
6x + 35y = 252 + 18
6x + 35y = 270
6x = 270 - 35y
x = 270 - 35y/6 -------------------- (1)
(2) 3x + 2/2 - 4y+3/9 = 13
9(3x + 2) - 2(4y + 3) = 13 * 18
27x + 18 - 8y - 6 = 234
27x - 8y + 12 = 234
27x - 8y = 234 - 12
27x - 8y = 222 --------------- (2)
Substitute (1) in (2), we get
27(270 - 35y/6 - 8y = 222
9(270 - 35y)/2 - 8y = 222
9(270 - 35y) - 16y = 444
2430 - 315y - 16y = 444
-331y = -1986
y = 1986/331
y = 6 ------------------------------------ (3)
Substitute (3) in (2), we get
27x - 8y = 222
27x - 8 * 6 = 222
27x - 48 = 222
27x = 222 + 48
27x = 270
x = 270/27
x = 10.
Therefore the value of x = 10 & y = 6.
Hope this helps!
siddhartharao77:
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6
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