Answer:
The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6
Explanation:
Let
x ----> represent the number of home runs Lu hit
y ---> represent the number of home runs Karrine hit
we know that
Together they hit 10 home runs
so
----> equation A
Karrine hit 4 more home runs than half the number of home runs Lu hit
so
---> equation B
substitute equation B in equation A
![x+(1)/(2)x+4=10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3c3a5quncknwtbitrv1jcrtfsk0rvbfujf.png)
solve for x
![(3)/(2)x=10-4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cjc7jg7pzr5pydijjlrcvzcj5ntk2a8sdx.png)
![(3)/(2)x=6\\x=4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/p9nxx2xnpcp9gf7uuz1wi0xqzmlng8cy3r.png)
Find the value of y
![y=(1)/(2)(4)+4=6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wjaxin6tc4ivqaqeii9b7a2t1a718ke1ox.png)
therefore
The number of home runs that Lu hit is 4 and the number of home runs that Karrine hit is 6