148k views
0 votes
Solve the following system hood equations by the substitution method

Solve the following system hood equations by the substitution method-example-1
User Cshu
by
8.6k points

1 Answer

3 votes

Question:

Solution:

Consider the following system of linear equations:

Equation 1:


6x+7y=17

Equation 2:


x=22-5y

Replacing the above equation into equation 1, we get:


6(22-5y)+7y=17

Applying the distributive property, we get:


132-30y+7y=17

this is equivalent to:


-30y+7y=17-132

this is equivalent to:


-23y=\text{ -115}

or


23y=\text{ 115}

solving for y, we obtain:


y=(115)/(23)=5

Now, replacing this into Equation 2, we obtain:


x=22-5(5)=22-25=-3

So that, we can conclude that the correct answer is:

The solution is (-3, 5)

Solve the following system hood equations by the substitution method-example-1
User Entropy
by
7.9k 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