use the substitution method to solve the given system of equations. express non-integer values as fractions in lowest terms.
4x + 2y=7
y=5x
a.(2/5,2)
b.(7/11,35/11)
c.(1/2,5/2)
d.(2,10)

Question

use the substitution method to solve the given system of equations. express non-integer values as fractions in lowest terms. 
4x + 2y=7
y=5x
a.(2/5,2)
b.(7/11,35/11)
c.(1/2,5/2)
d.(2,10)

anonymous · Answer

C

campbell_st · Answer

substitute equation 2 into equation 1

 4x + 2(5x) = 7

14x = 7

x = 7/14 or 1/2

substitute this value into equation 2 

y = 5(1/2)

y = 5/2

the ordered pair is (1/2, 5/2)