Respuesta :
Answer:
(5,-3) if the system is
y=x-8
2x+3y=1
Step-by-step explanation:
I think the system is to read:
y=x-8
2x+3y=1.
Please correct me if I'm wrong.
I'm going to plug 1st equation into 2nd equation giving me:
2x+3(x-8)=1 ->I replaced y with (x-8).
Distribute:
2x+3x-24=1
Combine like terms:
5x-24=1
Add 24 on both sides:
5x=25
Divide both sides by 5:
x=5
If y=x-8 and x=5, then y=5-8=-3.
The solution is (5,-3).
(5, −3) is the solution of given system of equations.
What is equation?
"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is a system of equations?
"It is set of equations for which we find a common solution."
What is substitution method?
"It is a method of solving system of equation we substitute the value of a variable found by one equation in the second equation."
For given question,
We have been given a system of equations.
y = x - 8 ..............(i)
2x + 3y = 1 ...............(ii)
We use substitution method to solve given system of equations.
Substitute the value of y from (i) to equation (ii).
⇒ x + 3(x - 8) = 1
⇒ 2x + 3x - 24 = 1
⇒ 5x = 1 + 24
⇒ 5x = 25
⇒ x = 5
Substitute above value of x in an equation (i)
⇒ y = 5 - 8
⇒ y = -3
So, the solution of given system of equations is x = 5 and y = -3
Therefore (5, -3) is the solution of given system of equations.
Learn more about the substitution method here:
https://brainly.com/question/14619835
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