Can you please advise if I worked this problem correctly:

11 + x = -15y

2x - 5y = 48

15y = 11+x
y = .73 + 15x

2x (.73 + 15X) - 48
2x -3.65 -75x = 48
-73x - 3.65 = 48
x = 51.65
x = -.70

check it yourself like this:

11 + (-.7) = -15(y) ?????

I think x = 19 and y = -2

http://www.idomaths.com/gauss_jordan.php
with
+1 15 -11
+2 -5 +48

Rewrite your equations:

11 + x = - 15 y Subtract 11 to both sides

11 + x - 11 = - 15 y - 11

x = - 15 y - 11 Add 15 y to both sides

x + 15 y = - 15y - 11 + 15 y

x + 15 y = - 11

2 x - 5 y = 48 Multiply both sides by 3

2 x * 3 - 5 y * 3 = 48 * 3

6 x - 15 y = 144

Now your system become:

x + 15 y = - 11

6 x - 15 y = 144
________________

x + 15 y = - 11
+
6 x - 15 y = 144
________________

x + 6x + 15 y - 15 y = - 11 + 144

7 x = 133 Divide both sides by 7

x = 133 / 7

x = 19

Replace this value in equation:

11 + x = - 15y

11 + 19 = - 15 y

30 = - 15 y Divide both sides by - 15

30 / - 15 = y

- 2 = y

y = - 2

Solution:

x = 19 and y = - 2

Proof:

11 + x = -15 y

11 + 19 = - 15 * ( - 2 )

30 = 30

2 x - 5 y = 48

2 * 19 - 5 * ( - 2 ) = 48

38 + 10 = 48

48 = 48

To verify if you worked the problem correctly, we can substitute your values of x and y into the original equations and see if they satisfy both equations.

The first equation: 11 + x = -15y
Substituting x = -0.70 and y = 0.73 + 15x:
11 + (-0.70) = -15(0.73 + 15(-0.70))
10.30 = -15(0.73 - 10.50)
10.30 = -15(-9.77)
10.30 = 146.55

Since 10.30 is not equal to 146.55, your values of x and y do not satisfy the first equation. This means there may be an error in your calculations.

To find the correct values of x and y, let's go through the steps:

First equation:
11 + x = -15y

Second equation:
2x - 5y = 48

To eliminate y, let's multiply the first equation by 5 and the second equation by -15:

5(11 + x) = -15(-15y)
-15(2x - 5y) = -15(48)

Simplifying these equations:

55 + 5x = 225y
-30x + 75y = -720

Now, let's solve these two equations simultaneously. To do this, we can solve the first equation for y and substitute it into the second equation:

55 + 5x = 225y
y = (55 + 5x) / 225

Substituting this value of y into the second equation:

-30x + 75((55 + 5x) / 225) = -720

Now we can solve for x:

-30x + 75(55 + 5x) = -720
-30x + 4125 + 375x = -720
345x + 4125 = -720
345x = -4845
x = -4845 / 345
x = -14

Now that we have the value of x, we can substitute it back into the first equation to find y:

11 + x = -15y
11 + (-14) = -15y
-3 = -15y
y = -3 / -15
y = 0.2

So the correct values for x and y are:
x = -14
y = 0.2

Therefore, based on the correct calculations, your initial solution was not correct.