Final answer:
The solution to the system of linear equations 2x = y - 10 and x + 7 = y by substitution is (x, y) = (-3, 4).
Step-by-step explanation:
To solve the system of linear equations 2x = y - 10 and x + 7 = y by substitution, follow these steps:
- First, solve one of the equations for one variable. From the second equation, we get x = y - 7.
- Next, substitute this expression for x into the first equation: 2(y - 7) = y - 10.
- Simplify and solve for y: 2y - 14 = y - 10, which simplifies to y = 4.
- Finally, substitute y back into one of the original equations to find x: x = 4 - 7, which simplifies to x = -3.
The solution to the system of equations is (x, y) = (-3, 4).