AlgebraHardSum of the solution values from a system with substitution
Algebra practice question
If 5x − 3y = 7 and x + 2y = 4, what is the value of x + y?
Answer: 3
From the second, x = 4 − 2y. Substitute: 5(4 − 2y) − 3y = 7, so 20 − 13y = 7 and y = 1. Then x = 2, and x + y = 3.
Common wrong answers
- If you answered 1
- 1 is y alone.
- If you answered 2
- 2 is x alone.
- If you answered 4
- 4 is the constant in the second equation, not x + y.
More Algebra questions
- Hard
For how many integer values of x is −2 < (x − 5)/3 ≤ 1 true? - Hard
The system 2x + 3y = 6 and 4x + 6y = k has infinitely many solutions. What is the value of k? - Hard
Which of the following is the complete solution set to |x − 4| < 6? - Hard
A student has $40 to spend on notebooks costing $4 each and pens costing $2 each, and wants at least 12 items … - Hard
What is the least whole number of minutes of international calling in a month for which the total monthly cost… - Hard
How many liters of the 30% acid solution did the technician use?
Not affiliated with the College Board. SAT is a trademark of the College Board.