Solve the system of equations without graphing. Show your reasoning.
2y=x-4
4x + 3y = 5

x=2 and y= -1

Step-by-step explanation:

1) we transform first equation

2y= x-4

2y +4= x

So x= 2y+4

2) we insert equation from 1) into second equation

4*(2y+4)+3y=5

8y+16+3y=5

11y+16=5

11y= -11

y= -1

3) insert y into 1)

x= 2*(-1)+4

x= -2+4

x= 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