How can I find the value of y by solving this system of equations using substitution?

To solve the system of equations using substitution, let’s assume we have the following equations:

• Equation 1: y = 2x + 3
• Equation 2: x + y = 10

We will follow these steps to find the value of y:

1. Substitute one equation into the other: We can start with Equation 1, which expresses y in terms of x. We will substitute this expression for y into Equation 2.
2. Rewrite Equation 2:

   Replacing y in Equation 2:

   x + (2x + 3) = 10

3. Simplify and solve for x:

   This simplifies to:

   3x + 3 = 10

   Next, we can subtract 3 from both sides:

   3x = 7

   Now, divide by 3:

   x = 7/3

4. Substitute back to find y:

   Now that we have x, we can find y by substituting x = 7/3 back into Equation 1:

   y = 2(7/3) + 3

   This becomes:

   y = 14/3 + 9/3

   y = 23/3

Therefore, the value of y is 23/3 or approximately 7.67.