Identify if the following simultaneous equations are set up for the substitution method: (1)(1)2𝑝+3𝑞2p+3q==1717 (2)(2)𝑝p==𝑞+1q+1
Question
Identify if the following simultaneous equations are set up for the substitution method: (1)(1)2𝑝+3𝑞2p+3q==1717 (2)(2)𝑝p==𝑞+1q+1
Solution
Yes, the given simultaneous equations are set up for the substitution method. Here's why:
The substitution method involves solving one of the equations for one variable in terms of the other variable and then substituting this expression into the other equation.
Looking at the given equations:
(1) 2p + 3q = 17 (2) p = q + 1
We can see that equation (2) is already solved for 'p'. This means we can substitute 'q + 1' for 'p' in equation (1).
So, these equations are indeed set up for the substitution method.
Similar Questions
Identify if the following simultaneous equations are set up for the substitution method: (1)(1)3𝑏−4𝑎3b−4a==1414 (2)(2)5𝑏+5𝑎5b+5a==88
Calculate the solution to these simultaneous equations using the substitution method: (1)(1)2𝑟−𝑡2r−t==22 (2)(2)𝑡t==3𝑟3r
Calculate the solution to these simultaneous equations using the substitution method: (1)(1)4𝑚+3𝑛4m+3n==1919 (2)(2)𝑚m==𝑛−4n−4
Calculate the solution to these simultaneous equations using the substitution method: (1)(1)4𝑚+3𝑛4m+3n==3232 (2)(2)𝑚m==𝑛+1n+1
Calculate the solution to these simultaneous equations using the substitution method: (1)(1)4𝑡4t==𝑟+5r+5 (2)(2)𝑡−4𝑟t−4r==2020
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.