Solve the following simultaneous linear equation x+2y=5 and x+3y=8

x= -1, y= 3

Step-by-step explanation:

First, label the 2 equations.

x +2y= 5 (1)

x +3y= 8 (2)

(2) -(1):

x +3y -(x+2y)= 8 -5

x +3y -x -2y= 3

y= 3 (simplify)

subst. y=3 into (1):

x +2(3)= 5

x +6= 5

x= 5 -6 (bring constant to 1 side)

x= -1

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

whats the