Question

4x + 10y = –4 –3x − 10y = 13solve by useing elimination

Answer 1

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.