# Question 390cd

Jan 30, 2017

Solve a system:

$6 x + 4 y = 18.9$ and $3 x + 3 y = 10.74$

#### Explanation:

First, decide upon a method of solving this system!
You could 1) use substitution by solving the second equation for either variable, then substituting into the first equation.
or, 2) multiply the second equation by $- 2$ and adding it to the first equation to use elimination.

So:

$6 x + 4 y = 18.9$
and

$- 6 x - 6 y = - 21.48$

$- 2 y = - 2.58$
so y = $1.29 and then, solve for $x$: $3 x + 3 \left(1.29\right) = 10.74$$3 x = 6.87$so x =$2.29.
Strawberries cost $2.29 per pound, and apples cost $1.29# per pound.