Question

X + y = 3 3x + 2y = 14

Answer 1

The solution is x = 8 and y = -5

Solution:

Given system of equations are:

x + y = 3 ------ eqn 1

3x + 2y = 14 ------ eqn 2

We have to find the solution to the equations

We can use substitution method to solve

From eqn 1,

x + y = 3

Isolate for "x"

x = 3 - y ------ eqn 3

Substitute eqn 3 in eqn 2

3(3 - y) + 2y = 14

9 - 3y + 2y = 14

-y = 14 - 9

-y = 5

y = -5

Substitute y = -5 in eqn 3

x = 3 - (-5)

x = 3 + 5 = 8

x = 8

Thus the solution is x = 8 and y = -5