Solve: 2x-3 = 5(x + 6)

2x - 3 = 5(x + 6)

2x - 3 = 5x + 30

-33 = 3x

x = -11

x= -11

Step-by-step explanation:

1. Expand and distribute.  

2x - 3 = 5x + 30

2.  Subtract 2x from both sides.

2x - 3 = 5x + 30

-2x        -2x

    -3 =  3x + 30

4 Subtract 30 from both sides.

-3 =  3x + 30

-30           -30

-33 = 3x      

6. Divide both sides by 33.

-33/3 = 3x/3

-11 = x

7. Switch sides

x = -11

use substitution to solve each system of equations. y = x + 5 3x + y = 25 62/87,21 y = x + 5 3x + y = 25 substitute x + 5 for y in the second equation. substitute the solution for x into either equation to find y. the solution is (5, 10)

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step-by-step explanation:

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.