Determine the value of x in
(а) {(3)337 = 37x
(с) (47)" = (47)21 = (47)45
Answers
Step-by-step explanation:
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}x−y=
15
18
.........(3)
subtracting (2) from (1)
-x-y=4
x+y=-4.............(4)
Adding (3) and (4)
2x=\frac{18}{15}-42x=
15
18
−4
2x=\frac{18-60}{15}2x=
15
18−60
2x=\frac{-42}{15}2x=
15
−42
x=\frac{-21}{15}x=
15
−21
(4)==>
\frac{-21}{15}+y=-4
15
−21
+y=−4
y=\frac{21}{15}-4y=
15
21
−4
y=\frac{21-60}{15}y=
15
21−60
y=\frac{-39}{15}y=
15
−39
solution is
x=\frac{-21}{15}x=
15
−21
y=\frac{-39}{15}y=
15
−39