Solve this system of equations:
2x - 5y =1
4x + 2y = 14

Question

Solve this system of equations:
2x - 5y =1
4x + 2y = 14

hero · Answer

2x-5y = 1
4x+2y = 14

y = (1-2x)/-5
y = (14-4x)/2

y = y
2(1-2x) = -5(14-4x)
2 -4x= -70+20x
72 = 24x
72/24 = x
x = 3
y = 1

anonymous · Answer

Whay do you multiply it my -5 and 2?

hero · Answer

Because I crossed multiplied by fractions I created once I isolated y

anonymous · Answer

why do you cross multiply?

hero · Answer

Because I set two fractions equal to one another. I set them equal to each other because they are expressions that represent intersecting lines. The goal is to find the (x,y) point where they intersect. Setting the expressions equal to each other is and finding the (x,y) points is like graphing both lines to find the point, except one is an algebraic method and the other is a graphic method.

anonymous · Answer

oh, thank you. :D