Question

For the following system, use the second equation to make a substitution for X in the first equation:

3x + 2y = 7
x - y + 3 = 0
What is the resulting equation?
a) 3y - 3 + 2y = 7
b) 3(y - 3) + 2y = 7
c) 3x - y - 3 + 2y = 7
d) 3x - y - 3 + 2y = 7

Answer 1

To make the substitution for X in the first equation using the second equation, solve the second equation for X and substitute it in the first equation.

Step-by-step explanation:

To make a substitution for X in the first equation using the second equation, we need to solve the second equation for X. From the second equation x - y + 3 = 0, we can rearrange it to solve for x: x = y - 3. Now we can substitute this expression for X in the first equation: 3(y - 3) + 2y = 7. Simplifying this equation, we get: 3y - 9 + 2y = 7. Combining like terms, the resulting equation is: 5y - 9 = 7.