answer: (x,y) = (18, 15)
explanation:
eliminate one variable by adding the equations
4x-72
divide both sides
x = 18
substitute in the value of x
3×18-2y=24
solve the equation
y=18
(x,y) = (18, 15)
check the solution
3×18-2×15= 24
18+2×15= 48
simplify
24=24
48=48
answer: (x,y) = (18, 15)
The value of x and y is 18 and 15.
In this elimination method we can either add or deduct the equations to get an equation in one variable. So that we can easily calculate both the required variable by eliminating one variable.
Since the equations are
3x – 2y = 24 .........(1)
x + 2y = 48............(2)
We have to solve these equations
3x + x = 48 + 24
4x = 72
x = 18
Now y should be
18 + 2y = 48
2y = 30
y = 15
learn more about an equation here: https://brainly.com/question/15844891
