x + y = 5,
3x - 5y = -1,
I will use the elimination method which
eliminates 1 variable and allows me to solve for the other.
Step 1. Multiply both sides of the 1st Eq by -3 and add the 2 Eqs:
-3x - 3y = -15,
3x - 5y = -1,
0 - 8y = -16,
- 8y = - 16,
Step 2. Divide both sides by -8 and get:
y = 2.
Step 3. Substitute 2 for y in Eq 1
and solve for x:
x + 2 - 5,
x = 5 - 2,
x = 3.
Solution set:(x , y) = (3 , 2) = The
point where the 2 graphs will intersect.
To graph the Eqs, use the following
x + y = 5. (0 , 5) , (2 , 3) , (5 ,0).
3x - 5y = -1. (-2 , -1) , (3 , 2) ,
(5 , 3.2).
I hope this will help.
CORRECTION: The 1st Eq under Step 3
should read: x + 2 = 5.
Algebra 1--Step-by-Step - Can someone show me how to solve these step-by-step? ...
math(algebra 1) - how do u answer this? please step by step *graph and check to ...
algebra - solve by using the quadratic formula prove your answer is correct by ...
Allgerbra - Please show me step by step how to Make a table of solutions for the...
Mathematics - I have three questions... Okay think of a 1-9 multiplication table...
Pre-Algebra [urgent!] - I can't find the solution to this problem; can someone ...
algebra 1 - can someone please help me solve the question and explain to me and ...
Algebra help - f(x)=x^3-4x^2-x+4 How do I find the x-intercept for this? This is...
Algebra help+check please? - Graph the function. Compare the graph with the ...
math - can someone explain step by step to solve system equations and example ...