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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!

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 class=

Respuesta :

meowmeow223334
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
xKelvin

Answer:

See Below.

Step-by-step explanation:

1) Given:

[tex]3x+2y+7=5x+3y+10[/tex]

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

[tex]3x+7=5x+y+10[/tex]

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

[tex]-2x+7=y+10[/tex]

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

[tex]-2x-3=y[/tex]

5) Symmetric Property:

[tex]y=-2x-3[/tex]

6) Slope-intercept form:

[tex]y=mx+b\text{, where $m$ is slope and $b$ is y-intercept.}[/tex]

7) Substitution:

[tex]m=-2[/tex]