Question

Solve the following equation by substitution method:
2x + y = 15
x - 5 = 2

Answer 1

To solve the equations by substitution method, first solve x - 5 = 2 for x to get x = 7. Then substitute x into the first equation, 2x + y = 15, to find y = 1. Thus, the solution is x = 7 and y = 1.

Step-by-step explanation:

To solve the following equation by substitution method: 2x + y = 15 and x - 5 = 2, first solve one of the equations for a single variable and then substitute that value into the other equation. Here's a step-by-step explanation.

1. Solve the second equation for x:
   
   x - 5 = 2
   x = 2 + 5
   x = 7
2. Substitute the value of x into the first equation:
   
   2x + y = 15
   2(7) + y = 15
   14 + y = 15
   y = 15 - 14
   y = 1

Now we have the values of both variables: x = 7 and y = 1.