Question

How do I solve this for substitution

Answer 1

First, solve the first equation for p, yielding
`\( p = (5 + 2q)/(3) \)`. Substitute this into the second equation, solve for q, and then substitute the q value back to find p.

To solve the system of equations using the method of substitution, follow these steps:

1. From the first equation, express one variable in terms of the other. Let's solve the first equation for p:

`\[ 3p - 2q = 5 \] \[ 3p = 5 + 2q \] \[ p = (5 + 2q)/(3) \]`

2. Substitute this expression for p into the second equation:

`\[ 4p + 3q = 1 \] \[ 4\left((5 + 2q)/(3)\right) + 3q = 1 \]`

Solve this equation for q.

3. Once you find the value of q, substitute it back into the expression for p to find its value.

Now, you have the values for both p and q that satisfy the system of equations.

The complete question is:
How to solve this by method of substitution.

3p - 2q = 5

4p + 3q = 1