Question

D-m=5 140d+134m=136,4​

Answer 1

$d-m=5140d+134m=136,4$

$\left \{ {{-5140d+5140m=-701096} \atop {5140d+134m=136,4}} \right.$

$\left \{ {{d-m=136,4} \atop {5140d+134m=136,4}} \right.$

$5274m=-700959,6$

$m=-\frac{194711}{1465}$

$d-(-\frac{194711}{1465} )=134,4$

$d=\frac{1023}{293}$

$(d,m)=(\frac{1023}{293} ,-\frac{194711}{1465} )$

$\frac{1023}{293} -(-\frac{194711}{1465} )=5140*\frac{1023}{293} +134(-\frac{194711}{1465} )=136,4$

$\frac{682}{5} =\frac{682}{5} =\frac{682}{5}$

$(d,m)=(\frac{1023}{293} ,-\frac{194711}{1465} )$

Answer 2

To solve the system of equations:

1. D - m = 5
2. 140D + 134m = 136.4

You can use either the substitution method or the elimination method. I'll use the elimination method here.

First, let's multiply equation (1) by 134 to make the coefficients of 'm' in both equations equal:

1. 134(D - m) = 134(5) 134D - 134m = 670

Now, we have the equations:

1. 134D - 134m = 670
2. 140D + 134m = 136.4

Next, add the two equations together to eliminate 'm':

(134D - 134m) + (140D + 134m) = 670 + 136.4

Combine like terms:

274D = 806.4

Now, divide both sides by 274 to solve for 'D':

D = 806.4 / 274 D ≈ 2.9453

Now that we have found 'D,' we can substitute this value back into equation (1) to solve for 'm':

D - m = 5 2.9453 - m = 5

Subtract 2.9453 from both sides to solve for 'm':

-m = 5 - 2.9453 -m ≈ 2.0547

Now, multiply both sides by -1 to isolate 'm':

m ≈ -2.0547

So, the solution to the system of equations is approximately:

D ≈ 2.9453 m ≈ -2.0547