Question

Given: 3x + 2y + 7 = 5x +3y +10

Prove: m = -2

please help im very confused :)
also make sure to include the statements and reasonings as shown in the screenshot!

Answer 1

Subtract 2y from both sides (property of subtraction)
3x + 7 = 5x + y + 10
Subtract 3x from both sides
7 = 2x + y + 10
Subtract 10 from both sides
2x + y = -3
Subtract 2x from both sides
y = y = -2x -3
m = -2

Answer 2

See Below.

Explanation:

1) Given:

`3x+2y+7=5x+3y+10`

2) Subtraction Property of Equality (subtract 2y from both sides):

`3x+7=5x+y+10`

3) Subtraction Property of Equality (subtract 5x from both sides):

`-2x+7=y+10`

4) Subtraction Property of Equality (subtract 10 from both sides):

`-2x-3=y`

5) Symmetric Property:

`y=-2x-3`

6) Slope-intercept form:

`y=mx+b\text{, where $m$ is slope and $b$ is y-intercept.}`

7) Substitution:

`m=-2`