Question

44x+58y = 11.7 2x • 107.8 + 2y •107.8 = 54

Answer 1

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Answer 2

To solve the system of equations:

1. 44x + 58y = 11.7
2. 2x * 107.8 + 2y * 107.8 = 54

We can start by simplifying the second equation:

2x * 107.8 + 2y * 107.8 = 54 215.6x + 215.6y = 54

Now we have a new equation:

3. 215.6x + 215.6y = 54

We can use any method of solving systems of linear equations to find the values of x and y. In this case, I'll use the substitution method.

From equation 1, we can solve for x:

44x + 58y = 11.7 44x = 11.7 - 58y x = (11.7 - 58y) / 44

Substitute this value of x into equation 3:

215.6x + 215.6y = 54 215.6[(11.7 - 58y) / 44] + 215.6y = 54

Let's simplify the equation further:

215.6 * (11.7 - 58y) + 215.6 * 44y = 54 * 44 2517.12 - 1266.48y + 9494.4y = 2376

Combine like terms:

8228.92y = -139.12

Solve for y:

y = -139.12 / 8228.92 y ≈ -0.0169

Now substitute the value of y back into equation 1 to solve for x:

44x + 58y = 11.7 44x + 58(-0.0169) = 11.7 44x - 0.9802 = 11.7 44x = 12.68 x ≈ 0.2882

Therefore, the solution to the system of equations is approximately x ≈ 0.2882 and y ≈ -0.0169.