Question

0,4 (5x-2) -0,3 (2x-1)=-0,90,9 (4x+2)-0,5 (3x+4)=-4,4

Answer 1

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Answer 2

To solve the system of equations, we will first simplify each equation and then solve for the value of 'x'.

1. Simplify the first equation: 0.4(5x - 2) - 0.3(2x - 1) = -0.9

Distribute the coefficients: 2x - 0.8 - 0.6x + 0.3 = -0.9

Combine like terms: 2x - 0.6x - 0.8 + 0.3 = -0.9

Simplify further: 1.4x - 0.5 = -0.9

2. Simplify the second equation: 0.9(4x + 2) - 0.5(3x + 4) = -4.4

Distribute the coefficients: 3.6x + 1.8 - 1.5x - 2 = -4.4

Combine like terms: 3.6x - 1.5x + 1.8 - 2 = -4.4

Simplify further: 2.1x - 0.2 = -4.4

Now, we have two simplified equations:

1. 1.4x - 0.5 = -0.9
2. 2.1x - 0.2 = -4.4

Let's solve for 'x':

1. 1.4x - 0.5 = -0.9 Add 0.5 to both sides to isolate the variable term: 1.4x = -0.9 + 0.5 1.4x = -0.4 Divide both sides by 1.4 to solve for 'x': x = -0.4 / 1.4 x = -0.2857 (rounded to 4 decimal places)

2. 2.1x - 0.2 = -4.4 Add 0.2 to both sides to isolate the variable term: 2.1x = -4.4 + 0.2 2.1x = -4.2 Divide both sides by 2.1 to solve for 'x': x = -4.2 / 2.1 x = -2

So, the solution to the system of equations is: x = -0.2857 and x = -2.