15.4k 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.