Question

II. Solve each linear and quadratic system BY SUB

5.) y=x+5r-2
y = 3x - 2
51
→ Solution(s):
6.)

Answer 1

To solve a system of linear and quadratic equations using substitution method, solve one equation for one variable in terms of the other variable, substitute it into the other equation, and solve for the remaining variable. Substitute the value of the remaining variable back into one of the original equations to find the value of the other variable.

Step-by-step explanation:

To solve the given system of equations by substitution method:

1. Step 1: Solve one equation for one variable in terms of the other variable.
2. Step 2: Substitute the expression from step 1 into the other equation and solve for the remaining variable.
3. Step 3: Substitute the value of the remaining variable back into one of the original equations to find the value of the other variable.

Substituting the expression y = x + 5r - 2 into y = 3x - 2, we get:

x + 5r - 2 = 3x - 2

Simplifying, we find:

2x - 5r = 0

We now have a linear equation in terms of x and r. This equation can be further solved to find the possible solutions for x and r.

Learn more about system of linear and quadratic equations using substitution method