Question

Solve this system by elimination: 3x + 2y = 18 5x – 2y = 14

Answer 1

Answer:

(4,3)

Step-by-step explanation:

3x + 2y = 18

5x – 2y = 14

Add the two equations together to eliminate y

3x + 2y = 18

5x – 2y = 14

------------------------

8x    =   32

Divide each side by 8

8x/8 = 32/8

x = 4

Now determine the value for y

3(4) +2y = 18

12 +2y =18

Subtract 12 from each side

12-12+2y = 18-12

2y = 6

Divide by 2

2y/2 =6/2

y=3

Answer 2

Answer:

x=4 and y=3

Step-by-step explanation:

x+2y=18

5x−2y=14

Add these equations to eliminate y:

8x=32

Then solve8x=32for x:

8x=32

8x

8

=

32

8

(Divide both sides by 8)

x=4

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

3x+2y=18

Substitute4forxin3x+2y=18:

(3)(4)+2y=18

2y+12=18(Simplify both sides of the equation)

2y+12+−12=18+−12(Add -12 to both sides)

2y=6

2y

2

=

6

2

(Divide both sides by 2)

y=3

Answer:

x=4 and y=3