SYSTEMS AND EQUATIONS

Systems and Equations

Systems and Equations

Solve for X and Y in the following problems.

a. X + Y = 6, 2X + Y = 8

Solution

X + Y = 6----------------------(1)

2X + Y = 8---------------------(2)

From eq(1) Y = 6 - X-----------(3)

eq(2)( 2X + (6 - X) = 8

X = 2

Put in eq(3)

Y = 6 - 2

Y = 4

b. 7X + 3Y = 14, 5X + 9Y = 10

Solution

7X + 3Y = 14---------------------(1)

5X + 9Y = 10---------------------(2)

From eq(1) X = (14 - 3Y)/7-------(3)

eq(2)(5((14 - 3Y)/7) + 9Y = 10

Y = 0

Put in eq(3)

X = 2

c. 4X + Y = 16, 2X ...