Question

Solve for X and Y

(i) 37x + 43y = 123 ; 43x + 37y = 117

(ii) 7x - 8y = 11 ; 8x - 7y = 7

(iii) x + 2y = 32 ; 2x + y = 32

(iv) 2x + 3y = 6 ; 3x - 5y2 = 2

(v) x7 + y3 = 5 ; x2 - y9 = 6

(vi) 2x + 3y = 31 ; 17x - 11y = 9

Answers as quick as u can plzz........

Answer 1

Answer:

1.

37x+43y=123...............(1)

43x+37y=117...............(2)

Adding (1) and (2)

80x+80y=240

x+y=3...............(3)

subtracting (2) from (1)

-6x+6y=6

-x+y=1..............(4)

Adding (3) and (4),

2y=4

y=2

(3)==> x=1

solution is x=1 and y=2

2.

7x - 8y = 11.............(1)

8x - 7y = 7...............(2)

Adding (1) and (2)

15x-15y=18

$x - y=\frac{18}{15}$.........(3)

subtracting (2) from (1)

-x-y=4

x+y=-4.............(4)

Adding (3) and (4)

$2x=\frac{18}{15}-4$

$2x=\frac{18-60}{15}$

$2x=\frac{-42}{15}$

$x=\frac{-21}{15}$

(4)==>

$\frac{-21}{15}+y=-4$

$y=\frac{21}{15}-4$

$y=\frac{21-60}{15}$

$y=\frac{-39}{15}$

solution is

$x=\frac{-21}{15}$

$y=\frac{-39}{15}$

Answer 2

Answer:

37x + 43y = 123 ……..(1)

43x + 37y = 117 ……..(2)

Adding (1) and (2)

80x + 80y = 240

80(x + y) = 240

x + y = <nobr>240/80</nobr><amp-mathml data-formula="

24080

" inline="" layout="container"></amp-mathml> = 3 ……..(3)

Subtracting (1) from (2),

6x – 6y = -6

6(x – y) = -6

x – y = <nobr>−6/6</nobr><amp-mathml data-formula="

−66