Solve the system of equations. 2x-y=6 x^{2}+y=9

melodykap

melodykap

Answered question

2021-03-23

Solve the system of equations.
2x-y=6
x2+y=9

Answer & Explanation

Nichole Watt

Nichole Watt

Skilled2021-03-25Added 100 answers

Step 1 
Considering the set of equations
2x-y=6...(1) 
x2+y=9...(2) 
To solve the equation: 
Step 2 
In order to solve equations, we employ the substitution method (1),
y=2x-6...(3) 
Now, substitute in equation (2) and solve for x, 
x2+(2x6)=9 
x2+2x6=9 
x2+2x15=0 
x2+5x3x15=0 
x(x+5)-3(x+15)=0 
(x-3)(x+5)=0 
x=3,5 
Step 3 
Find the y value that matches x.
Substitute the value of x as 3 in y, 
y=2(3)-6=6-6=0 
Substitute the value of x as -5 in y, 
y=2(-5)-6=-10-6=-16 
Step 4 
Answer: 
Thus, the solution of the given system is (3,0) and (-5,-16).

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-20Added 2605 answers

Answer is given below (on video)

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