ind values for mand b in the following system so that the solution to the system is (-3,4)
5x+7y=b
Mx+y-22
2007-07-11 06:39:39 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
(-3,4) replaces (x,y), so you simply fill -3 in for x and 4 in for y
therefore,
5X+7y=b
5(-3)+7(4)=b
-15+28=b
13=b
MX+y-22(=b? i am assuming so, but you didnt write it)
M(-3) + (4) -22= (13)
-3M+4-22=13
-3M-18=13
-3M=31
M= 10.3
Your answers are b=13 and M=10.3(If I did not do this one as you needed it to be, please just do it yourself by using the same method that I just showed you)
2007-07-11 06:53:57 · answer #1 · answered by ny_spinner_dan 3 · 0⤊ 0⤋
Since you know (-3,4) is the solution you substitute (-3,4) in for their respective x and y values so now you have 5(-3) + 7(4) = b and M(-3) + 4 = 22
Therefore you then have -15+28 = b or b = 13 and -3M +4 = 22, which is -3M = 18 or M = -6, thus b = 13 and M = -6
2007-07-11 06:49:54 · answer #2 · answered by esvalpo 2 · 0⤊ 0⤋
-15 + 28 = b = 13
-3m +4 = 22 --> m = -6
So 5x+7y = 13
-6x +y = 22
This assumes that your Mx+y-22 meant Mx+y = 22
2007-07-11 06:59:34 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋