Question

Solve the system of equations -3x-5y=14 and 7x+7y=0 by combining the equations.

Answer 1

The system of equations is solved by combining the equations to eliminate one variable, leading to the solution x = 7 and y = -7.

Step-by-step explanation:

The system of equations -3x-5y=14 and 7x+7y=0 can be solved by combining the equations. To combine them, we look for a way to eliminate one of the variables by adding or subtracting the equations. By multiplying the second equation by 5/7, we transform it into 5x+5y=0, which allows us to add this equation to the first one, resulting in a new equation with only the variable x:

-3x - 5y + 5x + 5y = 14 + 0
2x = 14
x = 7

Substituting x back into one of the original equations we find y:

7(7) + 7y = 0
49 + 7y = 0
7y = -49
y = -7

Thus, the solution to the system of equations is x = 7 and y = -7.

Answer 2

x=7 & y=-7

Step-by-step explanation:

from the 2nd equation 7x+7y=0 we can get that

x=-y

substitute that into the first equation to get

3y-5y=14

-2y=14

y=-7

then

x=7