291,295 views
42 votes
42 votes
Solve the following system hood equations by the substitution method

Solve the following system hood equations by the substitution method-example-1
User Milan Chheda
by
2.1k points

1 Answer

20 votes
20 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 Rabter
by
2.8k points