Question 2-a-8-

1.4 Systems of Two Linear Equations - Elimination method
0:00

2 a + 8 b = 198

2 a + 4 b = 98

The solution to the given system of equations is a,b. What is the value of b ?

Enter your answer:

2 a + 8 b = 198 2 a + 4 b = 98 The solution

Hard-difficulty · SAT Math · Systems of Two Linear Equations — Elimination method. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 25 . Subtracting the second equation from the first equation in the given system of equations yields 2a-2a+8b-4b=198-98, which is equivalent to 0+4b=100, or 4b=100. Dividing each side of this equation by 4 yields b = 25