For what numbers a and b is the system of equations below satisfied by x = b and y = a?
x−y=a
7x+5y=76
2007-10-22 08:05:37 · 5 answers · asked by Byron 1 in Science & Mathematics ➔ Mathematics
If y = a, then x-a = a, so x = 2a
Thus 7(2a) +5a = 76
19a = 76
a = 4 = y
x = 2a = 8 = b
a= y=4 and b=x = 8
2007-10-22 08:16:48 · answer #1 · answered by ironduke8159 7 · 0⤊ 0⤋
From the first equation, substituting x=b&y=a: b-a=a --> b = 2a. Then, substuting this into the second equation: 7*2*a+5*a=76 --> a=76/19=4, thus b=2*a=8.
2007-10-22 15:14:44 · answer #2 · answered by Scott 3 · 0⤊ 0⤋
x=8 y=4....
x-y=a a=y.... 8-4=4 so it works there....
7x+5y=76 so 7*8+5*4= 76... I hope that helps you...
2007-10-22 15:16:31 · answer #3 · answered by Tim F 2 · 0⤊ 0⤋
That makes two of us!
2007-10-22 15:46:49 · answer #4 · answered by skaizun 6 · 0⤊ 0⤋
i hope you get it
sorry i cant help
2007-10-22 15:12:20 · answer #5 · answered by Twilighter 2 · 0⤊ 0⤋