Question

Use the elimination method to solve the system of equations below and find the value of y. 2x+y=9 3x - y = 16

Answer 1

the given expressions are,

2x + y = 9 ........(1)

3x - y = 16 .........(2)

Add both the equation,

2x + 3x + y - y = 9 + 16

5x + 0 = 25

5x = 25

x = 25/5

x = 5

put x = 5 in equation (1)

2(5) + y = 9

10 + y = 9

y = 9 - 10

y = -1

thus, the answer is x = 5 and y = -1