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. 2a - 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

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

In two or more complete sentences, describe how the substitution method works for solving a two-order system of equations.

The difference between two numbers is 26 and one number is three times the other.Find them

Solve the system by substitution.y, equals, 6, xy=6xy, equals, 3, x, plus, 21y=3x+21

Simplify each expression and find its value when y = 15.(a) 5y - 21 - 2y = (b) 24 + 12y - 9y =

1/1

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.