For what value of the variable: 1. are the values of the expressions 2m−13 and m+3 equal? 2. is the value of 2x+1 twenty greater than 8x+5? 3. is the value of 9−y twice as much as the value of y?

Respuesta :

Answer:

1.-   m = 13

2.-   [tex]x<-\frac{2}{3}[/tex]

3.-   y = 3

Step-by-step explanation:

In all cases we need to start with an equation or an inequality and slove for the variable:

Case 1.   : 2 m - 13 = m + 3

[tex]2m-13=m+3\\2m-m=3+13\\m=16[/tex]

Case 2.   : 2 x + 1 > 8 x + 5 + 20

[tex]2x+1>8x+25\\1-25>8x-2x\\-24>6x\\-4 >x\\x<-4[/tex]

Case 3.  :  9 - y = 2  y

[tex]9-y=2y\\9=2y+y\\9=3y\\y=3[/tex]