Question

Show how to use substitution to solve the following system of equations. Write the solution as an ordered pair.

4x - y = 10
y = 2x - 2

*Hint: Substitute 2x-2 for ‘y’ in the first equation: 4x - (2x - 2)= 10

Then solve for ‘x’. Use your answer for 'x' to solve for 'y'.



Include in Your Answer:

The work used to solve for 'x'.
The work used to solve for 'y'.
Your final answer written as an ordered pair (x , y)

Answer 1

i have no clue i just want some points to do my work man

Answer 2

(6, 10)

Explanation:

Step 1: Substitute 2x-2 for ‘y’ in the first equation:

4x - (2x - 2)= 10

Step 2: Combine like terms

2x -2 =10

Step 3: Add 2 to both sides of the equation

2x = 12

Step 4: Divide both sides by 2

x= 6

Now substitute x=6 into any of the equations given, I chose the bottom one.

Step 5: Plug in x=6 and solve

y= 2(6) -2

y= 12-2

y= 10

Step 6: Write your answer as an ordered pair (x, y).

(6, 10)