Question

A pair of equations is shown below:

y = 3x - 5
y = 6x - 8
Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution.

Answer 1

To solve the pair of equations y = 3x - 5 and y = 6x - 8, you can use the substitution or elimination method. The solution is x = -1 and y = -8.

Step-by-step explanation:

To solve the pair of equations y = 3x - 5 and y = 6x - 8, we can use the substitution or elimination method.

Substitution Method:

1. From the first equation, solve for y in terms of x: y = 3x - 5.
2. Substitute this expression for y in the second equation: 3x - 5 = 6x - 8.
3. Solve the resulting equation for x.
4. Substitute the value of x back into one of the original equations to find the value of y.

Elimination Method:

1. Multiply one or both equations by suitable constants to make the coefficients of either x or y the same.
2. Add or subtract the equations to eliminate one variable.
3. Solve the resulting equation for the remaining variable.
4. Substitute this value back into either of the original equations to find the value of the other variable.

The solution for the pair of equations y = 3x - 5 and y = 6x - 8 using either the substitution or elimination method is x = -1 and y = -8.