# Question #28ac8

Feb 15, 2017

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
$x + 2 y = 5$

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

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

Subtract equation 3 from equation 2
$3 x + 4 y - \left(2 x + 4 y\right) = 11 - 10$

Simplify
$x = 1$

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

simplify
$y = 2$

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