Solve the system of equations:
*Remember no spaces in your answer (#,#), type infinite or type none.
{4x+3y=-1
{5x+4y=1
To solve this system of equations, we can use the method of substitution or elimination. Here, we will use the method of elimination:
To eliminate the variable x, we can multiply the first equation by 5 and the second equation by 4:
{20x + 15y = -5
{20x + 16y = 4
Now subtract the first equation from the second equation:
(20x + 16y) - (20x + 15y) = 4 - (-5)
20x + 16y - 20x - 15y = 4 + 5
y = 9
Substitute this value of y back into one of the original equations, such as the first equation:
4x + 3(9) = -1
4x + 27 = -1
4x = -1 - 27
4x = -28
x = -28/4
x = -7
Therefore, the solution to the system of equations is (x, y) = (-7, 9).