Question

What is the solution to the system of equations? X+3y=18 x+2y=14

Answer 1

Solution to system is

x = 6 and y= 4

S.set={6,4}

Explanation:

The given equations are

x + 3y = 18 ................(i)

x + 2y=14 .................(ii)

Subtracting both equation

(x+3y)-(x+2y)=18-14

x+3y-x-2y = 4

y = 4

put the value of y in equation (i)

the equation becomes

x + 3(4) = 18

x + 12 = 18

subtracting 12 from both sides

x + 12 -12 = 18-12

x =6

Solution to system is

x = 6 and y= 4

S.set={6,4}