Question

Решите систему уравнений способом подстановки х-6у=15 и 4х+3у=6

Answer 1

Смотри фото. Ответ:3,-2

Answer 2

I can help you solve the system of equations by the method of substitution. Here are the steps:

- First, we need to express one of the variables in terms of the other from one of the equations. For example, from the first equation, we can get x = 15 + 6y by adding 6y to both sides. - Next, we need to substitute this expression for x into the other equation. This will give us a single equation with only one variable, y. For example, from the second equation, we can get 4(15 + 6y) + 3y = 6 by replacing x with 15 + 6y. - Then, we need to simplify and solve this equation for y. For example, we can expand the brackets, collect like terms, and isolate y on one side. This will give us 27y = -54, and then y = -2 by dividing both sides by 27. - Finally, we need to plug this value of y back into the expression for x that we found earlier. This will give us the value of x. For example, we can get x = 15 + 6(-2) = 3 by substituting y = -2 into x = 15 + 6y. - The solution of the system is the pair of values (x, y) that satisfy both equations. In this case, the solution is (3, -2).

You can also use online calculators to check your answer or to solve other systems of equations by the method of substitution. For example, you can try this one or this one.