Identify the variable which is best to substitute for when solving with the substitution method: (1)(1)𝑞q==4𝑝+144p+14 (2)(2)𝑞q==𝑝+5p+5
Question
Identify the variable which is best to substitute for when solving with the substitution method: (1)(1)𝑞q==4𝑝+144p+14 (2)(2)𝑞q==𝑝+5p+5
Solution
The best variable to substitute in this case would be 'q'. This is because in both equations, 'q' is already isolated, which makes the substitution process easier.
Here are the steps:
- From equation (2), we know that q = p + 5.
- We can then substitute q in equation (1) with p + 5. So, equation (1) becomes: p + 5 = 4p + 14.
- Now, you can solve for 'p' and then substitute 'p' back into equation (2) to find 'q'.
Similar Questions
Identify the variable which is best to substitute for when solving with the substitution method: (1)(1)𝑝p==𝑞+5q+5 (2)(2)𝑝+3𝑞p+3q==−11−11
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
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
Solve using substitution.x = –4–x − 5y = 14
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.