Identify the operation you should use when eliminating these simultaneous equations: (1)(1)2𝑓−3𝑒2f−3e==44 (2)(2)𝑓+3𝑒f+3e==2020
Question
Identify the operation you should use when eliminating these simultaneous equations: (1)(1)2𝑓−3𝑒2f−3e==44 (2)(2)𝑓+3𝑒f+3e==2020
Solution
To eliminate these simultaneous equations, you should use the operation of addition. Here are the steps:
-
Write down the two equations:
2f - 3e = 4 ...(1)
f + 3e = 20 ...(2)
-
Add equation (1) and equation (2) together. The '3e' in equation (1) and '-3e' in equation (2) will cancel each other out:
(2f - 3e) + (f + 3e) = 4 + 20
-
Simplify the equation:
3f = 24
-
Solve for 'f':
f = 24 / 3 = 8
-
Substitute 'f = 8' into equation (2) to solve for 'e':
8 + 3e = 20
-
Solve for 'e':
3e = 20 - 8 = 12
e = 12 / 3 = 4
So, the solution to the simultaneous equations is f = 8 and e = 4.
Similar Questions
Identify if the following simultaneous equations are set up for the elimination method: (1)(1)2𝑥+4𝑦2x+4y==2020 (2)(2)𝑥x==𝑦+1y+1
Calculate the solution to these simultaneous equations using the substitution method: (1)(1)4𝑡4t==𝑟+5r+5 (2)(2)𝑡−4𝑟t−4r==2020
Calculate the solution to these simultaneous equations using the elimination method: (1)(1)𝑔+3ℎg+3h==1818 (2)(2)4𝑔+3ℎ4g+3h==3636
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
alculate the solution to these simultaneous equations using the elimination method: (1)(1)3𝑔+ℎ3g+h==44 (2)(2)𝑔−ℎg−h==44
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.