Sign In
Ask Question
Mathematics
Mackenzie Sparks
20 April, 04:21
Solve the system of equations
6x+7y = 5 2x-3y = 7
+2
Answers (
1
)
Edgar Ward
20 April, 06:19
0
The solution is (2, - 1)
Step-by-step explanation:
* You have two ways to solve the system of equations
1. Elimination method:
By making the coefficients of one of the two variables equal in the 2
equations in magnitude and different in sign to eliminate it and find the
other variable
2. Substitution method:
By finding one of the two variables in terms of the other in one of the
two equations and substitute this value in the second equation
* Lets solve our system using the elimination method
∵ 6x + 7y = 5 ⇒ (1)
∵ 2x - 3y = 7 ⇒ (2)
- Multiply equation (2) by - 3 to eliminate x
∵ (-3) (2x) - (-3) (3y) = (-3) (7)
∴ - 6x + 9y = - 21 ⇒ (3)
- Add equation (1) and (3)
∴ 7y + 9y = 5 + - 21
∴ 16y = - 16
- Divide each side by 16
∴ y = - 1
- Substitute the value of y in equation (1)
∴ 6x + 7 (-1) = 5
∴ 6x - 7 = 5
- Add 7 to both sides
∴ 6x = 12
- Divide both sides by 6
∴ x = 2
* The solution is (2, - 1)
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Get an answer to your question ✅
“Solve the system of equations 6x+7y = 5 2x-3y = 7 ...”
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
A tree casts a shadow 29 meters long. At the same time a 3-meter high pole casts a shadow 4 meters long. What is the height of the tree to the nearest meter?
Answers (2)
the length of a rectangle is 4 times its width. The rectangles perimeter is 68 feet what is the rectangles length and width?
Answers (1)
Solve the equation for x. For each of the following problems is it possible for x to be equal to: 1?
Answers (1)
For every 3 cans of veggies purchased you get 1 free can. Tessie went home with 32 cans of veggies how many cans did she have to pay for?
Answers (1)
What is the expression in radical form? (5x4y3) ^2/5 Enter your answer, in simplest form, in the box.
Answers (1)
New Questions in Mathematics
Negative 16 plus the quotient of a number and - 4 is - 3
Answers (1)
A ball is dropped from a window 17 feet above the ground. It lands in a hole 3 feet below the ground. What is the distance the ball traveled?
Answers (1)
Equation 10 - 2x = 14 - 4x
Answers (2)
eighteen students in a class of 25 students plan to go on a hiking trip. what percent of the students plan to go on the hiking trip
Answers (1)
What is the closest fraction to pie
Answers (1)
Home
»
Mathematics
» Solve the system of equations 6x+7y = 5 2x-3y = 7
Sign In
Sign Up
Forgot Password?