{45x+6y=15-x+18y=11 is

Step-by-step explanation:

45x+6y=15

-x+18y = 11

let's use elimination, the other way is by substitution,  either way works but, it looks to me like elimination would be easy with the  'y'

3(45x+6y=15)

135x + 18y = 45 ( subtract  2nd eq.  from 1st )

-( -x+18y = 11 )

136x +0y =34

x = 34 /136

x = 1 /4

there is X

plug that back into either of the 1st or 2nd equations to solve for y

- 1/4 + 18 y = 11

18y = 11 1/4

18y = 45/4

y = 45/4 *  1/18

y = 45/ 72

the fractions seem  "difficult"  but that's just what the given problem finds

sent a message if you don't "get it"    :)

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step-by-step explanation:

.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is