Name: Ann Marie Devereux
Question:
please help!!! Lets consider the first problem. This pair of equations is called a system of linear equations (system because there is more than one and linear because the graph of each equation is a line in the plane). What you are looking for is a pair of numbers x and y that satisfy both equations. Geometrically you are looking for the coordinates of the point where the two lines intersect. The standard technique to solve such a pair of equations is to find an equivalent pair of equations that have the same coefficient for one of the variable. What I plan to do is to multiply both sides of the second equation by 4 and this will result in 4 being the coefficient of y in this equation. Hence I will have two equations, both of which have 4 as the coefficient of y.
3x + 4y = 10
3x + 4y = 10
3x + 4y = 10 Now subtract the first equation from the second equation 16x + 4y (3x + 4y) = 36  10 13x = 26 Thus x = 2
Cheers,
