Sign In
Ask Question
Mathematics
Rhianna Decker
21 May, 10:59
X+6y=27
7x-3y=9 por metodo de igualacion
+1
Answers (
1
)
Ben Colon
21 May, 12:17
0
(3,4)
Step-by-step explanation:
The system of equations is:
x+6y=27
7x-3y=9.
I looked up "metodo de igualacion". It is basically American for doing substitution.
However, the only difference is you are asked to solve both equations for a variable.
The first equation looks easy to solve for x. So I'm going to solve both equations for x.
x+6y=27
Subtract 6y on both sides:
x = -6y+27
7x-3y=9
Add 3y on both sides:
7x = 3y+9
Divide both sides by 7:
x = 3/7 y + 9/7
So both equations are solved for x. You want to find when the x's are the same because you are looking for a common amongst the lines given.
So we have
-6y+27=3/7 y + 9/7
I hate the fractions honestly so I'm going to multiply both sides by 7 so they will no longer be for now:
-42y+189=3y + 9
Now add 42y on both sides:
189=45y+9
Subtract 9 on both sides:
180=45y
Divide both sides by 45:
4=y
If 4=y, then y=4.
So now once we have obtain 4 for y, we will use one of the equations given along with it to find x. Just choose one. Choose the easier looking one to you.
I like the x=-6y+27 with y=4.
So replace y with giving you:
x=-6 (4) + 27
x=-24+27
x=3
So the solution is (x, y) = (3,4).
x=3 and y=4.
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Get an answer to your question ✅
“X+6y=27 7x-3y=9 por metodo de igualacion ...”
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
The physical education instructor asks each student to do a total of 36 pull-ups and push-ups in 3 minutes. The instructor wants to do 8 times as many push-ups and pull-ups. Write a system of linear equations that represent this situation.
Answers (1)
The volume of a cone is 82,418π cm3. It has a diameter of 203 cm. What is the height of the cone? Round your answer to the nearest whole number.
Answers (1)
A wall has an area of 40 ft. It's height is 8 feet. Which equation could you use to find its width. Answers 40 - w = 8 8w = 40 8+w=40 W/8=40
Answers (1)
Simplify (4x+7) - (-3x-9) + 9x-28
Answers (1)
Keith brought a package with 2 9/16 pound of of ground meat to make hamburgers. He has 2/5 pound of ground meat left. About how many pounds of ground meat did he use for the hamburgers?
Answers (1)
New Questions in Mathematics
If y varies inversely as the square root of x, what is the constant of proportionality if y = 16 and x = 4?
Answers (1)
How to convert 24cm to L
Answers (1)
Which of the following is not an attribute of a linear equation? The equation has a single variable. The variable must be raised to the second power. The equation is of the first degree. The equation has an equal sign.
Answers (1)
Write down the 3rd term in the sequence given by t (n) = 2n*2
Answers (1)
Sarah's age is five less than twice her sister's age. Sarah is fifteen years old. Which equation could you use to solve for the age of Sarah's sister? 2x - 5 = 15 2 (15) - 5 = x 15 = 5 - 2x 15 - 5 = 2x
Answers (2)
Home
»
Mathematics
» X+6y=27 7x-3y=9 por metodo de igualacion
Sign In
Sign Up
Forgot Password?