First of all, let's plug the values. You simply have to substitute every occurrence of "x" with "7" and every occurrence of "y" with "-3", which leads to
![-4|x+5y| \to -4|7+5\cdot (-3)| = -4|7-15| = -4|-8|](https://img.qammunity.org/2019/formulas/mathematics/middle-school/vs03p9wbn99ea2a9wx71zq2jf4ukg2tfev.png)
Now, the absolute value of a number
, i.e.
, returns the positive versione of a number. So, if x is positive, you have
whereas if x is negative you have
.
In this case, the absolute value of -8 is 8, because -8 is negative. So, the expression becomes
![-4|-8| = -4 \cdot 8 = -32](https://img.qammunity.org/2019/formulas/mathematics/middle-school/nyuvxwozk8v1tcjvzihkttoscrneaipkf7.png)