Someone please solve this system of equation question?
Choose the equivalent system of linear equations that will produce the same solution as the one given below. 4x – 2y = 6 2x + y = 5 A. –4x – 2y = 10 –4y = 4 B. –4x – 5y = –1 –7y = 5 C. 3x + 2y = 6 7x = 12 D. 4x + 2y = 10 8x = 16
@abb0t
@Zale101
@robtobey
4x-2y = 6 2x+y = 6 use substitution by using the first equation to make x as the function of y \[x = (6 +2y)/4 \] then, use substitution again by substituting the second equation by the first \[2(6-2y)/4+y = 6\] <---- simplify this expression and you'll get 8y = 12 divide each side by 8 you'll get y=12/8 now we found out y, use y = 12/8 or 1.5 back into the x as a function of y: x = (6+2(1.5))/4 = 2.25
for the first equation
x=2.25 and y=1.5
|dw:1386962887984:dw|
Join our real-time social learning platform and learn together with your friends!