Question

PLEASE HELP PLEASE

What is the x-coordinate in the solution of the system of equations
y=-2/3x and 4x - 9y=-40?

Answer 1

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:

`y = (-2)/(3)x` ------- eqn 1

`4x - 9y=-40` ------ 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"

`4x - 9((-2)/(3)x) = -40\\\\4x + (18x)/(3) = -40\\\\12x + 18x = -120\\\\30x = -120\\\\x = (-120)/(30) = -4`

x = -4

Thus the x-coordinate in the solution of the system of equations is -4