4x + 10y = –4 –3x − 10y = 13solve by useing elimination
To solve the system of equations by elimination, we will add the two equations together in a way that eliminates one of the variables.
Adding the two equations:
(4x + 10y) + (-3x - 10y) = (-4) + 13
This simplifies to:
4x + 10y - 3x - 10y = 9
Combining like terms:
(4x - 3x) + (10y - 10y) = 9
x + 0 = 9
Therefore, we are left with:
x = 9
Now, we substitute this value back into one of the original equations to solve for y.
Using the first equation:
4(9) + 10y = -4
36 + 10y = -4
Subtracting 36 from both sides:
10y = -40
Dividing both sides by 10:
y = -4
Therefore, the solution to the system of equations is x = 9 and y = -4.