Question

The values of X and Y that satisfy the equation x + 2 y equals 27 and 2x equal take away y equal 19 are respectively​

Answer 1

To solve this system of equations, we can use the method of substitution. By solving for one variable in terms of the other, we can then substitute that expression into the other equation and solve for the remaining variable. The values of x and y that satisfy the equations are x = 13 and y = 7.

Step-by-step explanation:

To solve the given system of equations, x + 2y = 27 and 2x - y = 19, we can use the method of substitution:

1. Start with equation 1: x + 2y = 27.
2. From equation 1, isolate x: x = 27 - 2y.
3. Substitute this value of x into equation 2: 2(27 - 2y) - y = 19.
4. Simplify the equation: 54 - 4y - y = 19.
5. Combine like terms: 54 - 5y = 19.
6. Subtract 54 from both sides: -5y = 19 - 54.
7. Simplify further: -5y = -35.
8. Divide both sides by -5 to solve for y: y = -35 / -5 = 7.
9. Substitute this value of y back into equation 1 to solve for x: x + 2(7) = 27.
10. Combine like terms: x + 14 = 27.
11. Subtract 14 from both sides: x = 27 - 14 = 13.

Therefore, the values of x and y that satisfy the given equations are x = 13 and y = 7.