What is the value of the x-coordinate of 2x+3y=144; y-x=24

The value of x - coordinate is 14.4

Solution:

Given that we have to find the x -coordinate of the system

Given system of equations are:

2x + 3y = 144 eqn 1

y - x = 24 eqn 2

Solve the above system of equations to find the x - coordinate

From eqn 2,

y = 24 + x eqn 3

Substitute eqn 3 in eqn 1

2x + 3(24 + x) = 144

2x + 72 + 3x = 144

Add the like terms

5x + 72 = 144

5x = 144 - 72

5x = 72

Divide 72 by 5

x = 14.4

Thus the x - coordinate of the system is 14.4

The answer should be -19/13 per hour. I think, I'm not completely sure.

Step-by-step explanation:

Find the difference of 9 1/4 and 4 1/2

divide by 3 1/4

simplify

4 1/2 - 9 1/4 = -19/4

-19/4 divided by 13/4 = -76/52

-76/52 = -38/26 = -19/13

So the answer should be -19/13 per hour.