Find values for m and b in the following system so that the solution to the system is (-3,4).
5x + 7y = b
mx + y = 22
2007-07-18 12:14:50 · 5 answers · asked by jovanni k 1 in Science & Mathematics ➔ Mathematics
5x + 7y = b
mx + y = 22
(-3,4) means
x = -3
y = 4
5x + 7y = b
substitute the value of x and y to solve the above equation for b
5(-3) + 7(4) = b
b = -15 + 28
b = 13
mx + y = 22
substitute the value of x and y to solve the above equation for m
m(-3) + 4 = 22
-3m = 22 - 4
-3m = 18
m = -6
So b = 13 and
m = -6
2007-07-18 12:18:36 · answer #1 · answered by Sam 3 · 1⤊ 0⤋
5x + 7y = b
mx + y = 22
-15+28 = b = -13
-3m +4 = 22
-3m = 18
m = -6
2007-07-18 12:26:39 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋
Plug in x = -3, y =4 into the equations shown.
(5)(-3) + (7)(4) = b
from which b = -15 + 28 = 13
m(-3) + 4 = 22
from which m = (22-4) / (-3) = -6
2007-07-18 12:19:38 · answer #3 · answered by Optimizer 3 · 0⤊ 0⤋
(-3,4) = (x,y)
subst 5 x -3 + 7 x 4 = b = 13
m x -3 + 4 = 22
-3m = 22 - 4
-3m = 18
m = 18/-3
m = -6
2007-07-18 12:21:25 · answer #4 · answered by Anonymous · 0⤊ 0⤋
substitute (-3,4)
5(-3) + 7(4) = b
b= 13
-3 m +4 = 22
3 m = -18
m = - 6
b = 13
2007-07-18 12:21:14 · answer #5 · answered by CPUcate 6 · 0⤊ 0⤋