Question #28ac8

1 Answer
Feb 15, 2017

Answer:

The two lines described by the equations cross at (1, 2)

Explanation:

Assuming the question asks to find where the two lines cross
or to find a common solution for the two equations

Using subtraction
Equation 1
#x + 2y = 5#

Equation 2
#3x + 4y == 11#

Multiply equation 1 by a factor of 2 to give equation 3
#2x + 4y = 10#

Subtract equation 3 from equation 2
#3x + 4y - (2x + 4y) = 11 - 10#

Simplify
#x = 1#

Substitute 1 for x in equation 1
#1 +2y = 5#

simplify
#y = 2#

Therefore the two lines described by the equations cross at (1, 2)