Question

0,5x-3,4(5-y)=4,7 -4x+8y=12

Answer 1

0,5х-3,4(5-у)=4,7
0,5х=-17+3,4у=4,7
0,5х=4,7+17-3,4у
0,5х=21,7-3,4у
X=(21,7-3,4y)•2
X=43,4-6,8y
X=43,4-6,8y

-4x+8y=12
-4x=12-8y
X=-3+2y

Answer 2

To solve the system of equations:

1. 0.5x - 3.4(5 - y) = 4.7
2. -4x + 8y = 12

We can start by solving one of the equations for one variable and then substitute that into the other equation. Let's start with the second equation, which is a bit simpler:

-4x + 8y = 12

Let's isolate y in terms of x:

8y = 4x + 12

Now, divide both sides by 8:

y = (4x + 12)/8

y = 0.5x + 1.5

Now, we can substitute this expression for y into the first equation:

0.5x - 3.4(5 - (0.5x + 1.5)) = 4.7

Now, we'll simplify this equation:

0.5x - 3.4(5 - 0.5x - 1.5) = 4.7

0.5x - 3.4(3.5 - 0.5x) = 4.7

Now, distribute the -3.4 into the parentheses:

0.5x - 3.4 * 3.5 + 3.4 * 0.5x = 4.7

0.5x - 11.9 + 1.7x = 4.7

Now, combine like terms:

2.2x - 11.9 = 4.7

Add 11.9 to both sides:

2.2x = 4.7 + 11.9

2.2x = 16.6

Now, divide by 2.2 to solve for x:

x = 16.6 / 2.2

x = 7.545

Now that you have the value of x, you can find the value of y using the equation we derived earlier:

y = 0.5x + 1.5

y = 0.5 * 7.545 + 1.5

y = 3.7725 + 1.5

y = 5.2725

So, the solution to the system of equations is:

x ≈ 7.545 y ≈ 5.2725