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Find the solution of the system of equations.
- 7x – 4y = -44
7x - 3y = 16

User Formatc
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1 Answer

3 votes

Final answer:

To solve the system of equations -7x - 4y = -44 and 7x - 3y = 16, we can use the method of elimination. The solution is x = 14/5 and y = 6/5.

Step-by-step explanation:

To solve the system of equations -7x - 4y = -44 and 7x - 3y = 16, we can use the method of elimination.

Step 1: Multiply the second equation by 2 to make the coefficients of x in both equations cancel each other out:

-7x - 4y = -44
14x - 6y = 32

Step 2: Add the two equations together to eliminate x:

-7x + 14x - 4y - 6y = -44 + 32

Step 3: Simplify and solve for y:

7x - 10y = -12

-10y = -12

y = -12 / -10

y = 6/5

Step 4: Substitute the value of y back into one of the original equations and solve for x:

7x - 3(6/5) = 16

7x - 18/5 = 16

7x = 16 + 18/5

7x = 80/5 + 18/5

7x = 98/5

x = 98/5 ÷ 7

x = 14/5

Therefore, the solution to the system of equations is x = 14/5 and y = 6/5.

User Pandagrammer
by
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