229k views
4 votes
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?

User Majlik
by
4.7k points

1 Answer

5 votes

Answer:

1.- m = 13

2.-
x<-(2)/(3)

3.- y = 3

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


2m-13=m+3\\2m-m=3+13\\m=16

Case 2. : 2 x + 1 > 8 x + 5 + 20


2x+1>8x+25\\1-25>8x-2x\\-24>6x\\-4 >x\\x<-4

Case 3. : 9 - y = 2 y


9-y=2y\\9=2y+y\\9=3y\\y=3

User Vikram Sapate
by
4.3k points