The x-coordinate in the solution of the system of equations y = -2/3x and 4x - 9y = -40 is -4
Solution:
Given that system of equations are:
[tex]y = \frac{-2}{3}x[/tex] ------- eqn 1
[tex]4x - 9y=-40[/tex] ------ eqn 2
We have to solve the above given system of equations and find the x - coordinate
Substitute eqn 1 in eqn 2 and solve for "x"
[tex]4x - 9(\frac{-2}{3}x) = -40\\\\4x + \frac{18x}{3} = -40\\\\12x + 18x = -120\\\\30x = -120\\\\x = \frac{-120}{30} = -4[/tex]
x = -4
Thus the x-coordinate in the solution of the system of equations is -4
