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

(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

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15