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Use elimination to solve the system of equations. Enter your answers in the boxes.

3x – 2y = 24
x + 2y = 48

WHATS THE X AND WHATS THE Y


Sagot :

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.

Elimination method:

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