Solve the system of linear equations.

6x - 2y = -18

2x - 2y = -2

x = -4

y = -3

Step-by-step explanation:

to solve the system of linear equation we say that let

6x - 2y = -18 equation 1  

2x - 2y = -2 equation 2

from equation 2

2x - 2y = -2 equation 2

2x = -2  + 2y

divide both sides by 2

2x/2 = ( -2 + 2y)/2

x =  ( -2 + 2y)/2 equation 3

substitute for x in equation 1

6x - 2y = -18 equation 1

6[( -2 + 2y)/2]  - 2y = -18

-6 + 6y- 2y = -18

collect the like terms

6y - 2y = -18 + 6

4y = -12

divide both sides by the coefficient of y which is 4

4y/4 = -12/4

y = -3

put y = -3 in   equation 3

x =  ( -2 + 2y)/2 equation 3

x = -2 + 2(-3)/2

x = -2-6/2

x = -8/2

x = -4

therefore the value of x and y in the equation is -4 and -3 respectively.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.