Question

Find the solution to the following system of equations using the ADDITION method. 3x + 2y = 7 -3x + 3y = 8

Answer 1

Answer:

x = 1/3 and y = 3

Step-by-step explanation:

It is given the system of equations

3x + 2y = 7   ----(1)

-3x + 3y = 8    ----(2)

To find the solution

Add eq(1) and eq (2) we get,

3x + 2y = 7   ----(1)

-3x + 3y = 8    ----(2)

 0 + 5y = 15

y = 15/5 = 3

Substitute the value of y in eq(1)

3x + 2y = 7   ----(1)

3x + 2*3 = 7

3x + 6 = 7

3x = 7 - 6 = 1

x = 1/3

Therefore

x = 1/3 and y = 3