Question

{(-x+5y=-11),(2x+4y=6):}

Answer 1

Відповідь:

Пояснення:

Answer 2

To solve the system of equations {(-x + 5y = -11), (2x + 4y = 6)}, we can use the method of substitution or elimination. Let's solve it using the method of substitution.

Step 1: Solve one equation for one variable in terms of the other variable. From the first equation: -x + 5y = -11, we can solve for x: x = 5y - 11.

Step 2: Substitute the expression for x into the second equation. Substituting x = 5y - 11 into the second equation 2x + 4y = 6: 2(5y - 11) + 4y = 6. Simplifying the equation: 10y - 22 + 4y = 6. Combining like terms: 14y - 22 = 6. Adding 22 to both sides: 14y = 28. Dividing both sides by 14: y = 2.

Step 3: Substitute the value of y back into one of the original equations to solve for x. Using the first equation -x + 5y = -11, with y = 2: -x + 5(2) = -11. Simplifying the equation: -x + 10 = -11. Subtracting 10 from both sides: -x = -21. Dividing both sides by -1: x = 21.

So, the solution to the system of equations {(-x + 5y = -11), (2x + 4y = 6)} is x = 21 and y = 2.