To solve this system of equations, we can use the method of elimination.
First, let's rewrite the equations in a standard form:
2x + 4y = -8
-2x + 3y = 22
Next, we can multiply the second equation by 2 to make the x coefficients the same:
4x + 6y = 44
Now, we can add the two equations together to eliminate the x variable:
(2x + 4y) + (4x + 6y) = -8 + 44
6x + 10y = 36
Now, we have a new equation:
6x + 10y = 36
This equation can be simplified by dividing by 2:
3x + 5y = 18
Now we can solve this new equation with the second equation in the system:
3x + 5y = 18
-2x + 3y = 22
We can multiply the second equation by 3 to make the y coefficients the same:
-6x + 9y = 66
Now, add the two equations together to eliminate the x variable:
(3x + 5y) + (-6x + 9y) = 18 + 66
-3x + 14y = 84
Now we have a new equation:
-3x + 14y = 84
To find the values of x and y, we can set the two new equations equal to each other:
6x + 10y = 36
-3x + 14y = 84
Solve these equations to find the values of x and y.
2x+4y=-8
-2x+3y=22
1 answer