Solve system using linear combination. 5x + 3y = 41 and 3x - 6y = 9 show all work.

(7,2)

Step-by-step explanation:

5x + 3y = 41

3x - 6y = 9

Multiply the first equation by 2

2(5x + 3y) = 41 *2

10x +6y = 82

Add this to the second equation

10x +6y = 82

3x - 6y = 9

13x = 91

Divide by 13

13x/13 = 91/13

x=7

Now we can find y

5x+3y = 41

5(7) +3y =51

35+3y=41

Subtract 35 from each side

35-35+3y=41-35

3y = 6

Divide by 3

3y/3 = 6/3

y=2

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1