Knowee
Questions
Features
Study Tools

Using substitution method, solve these equations 1) a+ 3b = 43 2 a - 2b = 24

Question

Using substitution method, solve these equations

  1. a+ 3b = 43 2 a - 2b = 24
🧐 Not the exact question you are looking for?Go ask a question

Solution

Sure, let's solve these equations step by step using the substitution method.

Step 1: From the first equation, we can express 'a' in terms of 'b'. So, we get:

a = 43 - 3b

Step 2: Substitute 'a' from the first equation into the second equation. So, we get:

2(43 - 3b) - 2b = 24 86 - 6b - 2b = 24 86 - 8b = 24 -8b = 24 - 86 -8b = -62 b = -62 / -8 b = 7.75

Step 3: Substitute 'b' = 7.75 into the first equation to find 'a'. So, we get:

a = 43 - 3(7.75) a = 43 - 23.25 a = 19.75

So, the solution to the system of equations is a = 19.75 and b = 7.75.

This problem has been solved

Similar Questions

Calculate the solution to these simultaneous equations using the substitution method: (1)(1)2𝑟−𝑡2r−t==22 (2)(2)𝑡t==3𝑟3r

If a : b = 3 : 5 and a = 24, then what is the value of b?  Ops:   A. 35    B. 40    C. 30    D. 45

Solve the simultaneous equations3a−b= −19,3a+4b= −14.

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 the simultaneous equations3a−2b= −7,4a−5b= 14.

1/3

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.