Question if-the

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

4 x plus 5 y, equals 100, 
and, 
5 x plus 4 y, equals 62

If the system of equations above has solution the ordered pair x comma y , what is the value of x plus y ?

A.

0

B.

9

C.

18

D.

38

If the system of equations above has solution , what is the value of ?

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

Answer explanation

Choice C is correct. Adding the given equations yields 9x + 9y = 162. Dividing each side of the equation 9x + 9y = 162 by 9 gives x + y = 18.

Choice A is incorrect and may result from incorrectly adding the equations. Choice B is incorrect and may result from conceptual or computational errors. Choice D is incorrect. This value is equivalent to yx.