Use the substitution method to solve the system of equations. Choose the correct ordered pair.2x + 2y = 16y = x – 4A.(6, 2)B.(2, –2)C.(2, 2)D.(6, –2)
Question
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
A. (6, 2)
B. (2, –2)
C. (2, 2)
D. (6, –2)
Solution
Step 1: We are given that y = x - 4.
Step 2: Substitute y = x - 4 into the other equation, 2x + 2y = 16.
This gives us 2x + 2(x - 4) = 16.
Step 3: Simplify the equation.
This gives us 2x + 2x - 8 = 16.
Step 4: Combine like terms.
This gives us 4x - 8 = 16.
Step 5: Add 8 to both sides of the equation.
This gives us 4x = 24.
Step 6: Divide both sides by 4.
This gives us x = 6.
Step 7: Substitute x = 6 into the equation y = x - 4.
This gives us y = 6 - 4 = 2.
So, the solution to the system of equations is (6, 2), which corresponds to option A.
Similar Questions
Use the substitution method to solve the system of equations. Choose the correct ordered pair.16x – 2y = 742x – 2y = 4A.(5, 0)B.(6, 0)C.(6, 3)D.(5, 3)
Use the elimination method to solve the system of equations. Choose the correct ordered pair.4x + 8y = 164x – 8y = 0A.(4, 0)B.(4, 2)C.(2, 4)D.(2, 1)
Solve the system of equations and choose the correct ordered pair.3x – 4y = 262x + 8y = –36A.(2, –5)B.(2, 5)C.(6, 2)D.(6, –2)
Solve the system of equations and choose the correct ordered pair.4x + 5y = 222x + 3y = 12A.(2, 3)B.(4, 1)C.(4, 5)D.(3, 2)
Use the elimination method to solve the system of equations. Choose the correct ordered pair.7x + 4y = 392x + 4y = 14A.(5, 1)B.(5, 4)C.(3, 4)D.(3, 2)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.