15.3k views
0 votes
How to solve this using the substitution method?

How to solve this using the substitution method?-example-1

1 Answer

5 votes

Answer

To solve the system of equations using the substitution method, you can follow these steps:

Given equations:

1. 10x - 2y = 16

2. 5x + 3y = -12

Step 1: Solve one of the equations for one variable. Let's solve equation (1) for x:

10x - 2y = 16

First, add 2y to both sides:

10x = 2y + 16

Next, divide both sides by 10 to isolate x:

x = (2y + 16) / 10

x = (y + 8) / 5

Step 2: Substitute the expression you found for x (from step 1) into the other equation (equation 2):

5x + 3y = -12

Replace x with (y + 8) / 5:

5((y + 8) / 5) + 3y = -12

Now, simplify the equation:

(y + 8) + 3y = -12

Step 3: Solve the equation for y:

Combine like terms:

4y + 8 = -12

Subtract 8 from both sides:

4y = -12 - 8

4y = -20

Divide by 4 to isolate y:

y = -20 / 4

y = -5

Step 4: Now that you have found the value of y, substitute it back into the expression for x that you found in step 1:

x = (y + 8) / 5

x = (-5 + 8) / 5

x = 3 / 5

So, the solution to the system of equations is:

x = 3/5

y = -5

User Dorsz
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories