Sign In
Ask Question
Mathematics
Erin Esparza
11 May, 22:43
Solve the system of equations.
y-10x=5
y=x^2+7x+5
+3
Answers (
2
)
Colten Schroeder
11 May, 23:07
0
x = 0,3
Step-by-step explanation:
y-10x=5 move - 10x to the other side to get y by itself
y=10x+5 then you would substitute this equation into the other equation where you see y
10x+5=x^2+7x+5 move everything to one side
0=x^2+7x+5-10x-5 combine like terms
0=x^2-3x factor
0 = x (x-3) set each equal to zero
x=0
x-3 = 0 add 3 to both sides
x = 3
the answer is x=0 and x=3
Comment
Complaint
Link
Briana Donovan
12 May, 01:38
0
see explanation
Step-by-step explanation:
Given the 2 equations
y - 10x = 5 → (1)
y = x² + 7x + 5 → (2)
From (1) express y in terms of x by adding 10x to both sides
y = 10x + 5 → (3)
Substitute y = 10x + 5 into (2)
10x + 5 = x² + 7x + 5 (subtract 10x + 5 from both sides)
0 = x² - 3x (take out common factor of x), hence
x (x - 3) = 0
Equate each factor to zero and solve for x
x = 0
x - 3 = 0 ⇒ x = 3
Substitute these values into (3) for corresponding values of y
x = 0 : y = 0 + 5 = 5 ⇒ (0, 5) is a solution
x = 3 : y = 30 + 5 = 35 ⇒ (3, 35) is a solution
Solutions are (0, 5), (3, 35)
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Get an answer to your question ✅
“Solve the system of equations. y-10x=5 y=x^2+7x+5 ...”
in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
How do you divide 1680 divided by 60
Answers (1)
Whats 30% of $38,366.77?
Answers (2)
2/3xd=10/9 what is d
Answers (1)
Simplify: Show your work. 4√400/4√5
Answers (1)
Mrs Johnson has a $100 order for fries. If each French fry order is $3.50 each how many do she need to sell in order to pay for the order?
Answers (1)
New Questions in Mathematics
Solve the equation for the unknown variable b³ = 5,832
Answers (1)
Describe the process for calculating the volume of a cylinder.
Answers (1)
You borrow $500 from a local bank to purchase your first car. the Loan has a rate of 12% simple interest. if you do not make any payments that year, how much interest will you owe at the end of the year
Answers (1)
What is the cost of 100g of rice at 95p per half kg
Answers (1)
A rectangular box has a length of 8 feet and a width of 2 feet. The length of the three-dimensional diagonal is 10 feet. What is the height of the box?
Answers (1)
Home
»
Mathematics
» Solve the system of equations. y-10x=5 y=x^2+7x+5
Sign In
Sign Up
Forgot Password?