Part 1) The solution of the system is the point (1,-3)
Part 2) The solution of the system is the point (-2,-8)
Part 3) The solution of the system is the point (7,42)
Part 4) The solution of the system is the point (2,9)
Step-by-step explanation:
Part 1) we have
----> equation A
----> equation B
Solve the system by substitution
Substitute equation B in equation A
![-3=7x-10](/tpl/images/0380/4702/3d194.png)
Solve for x
Adds 10 both sides
![-3+10=7x](/tpl/images/0380/4702/086aa.png)
![7=7x](/tpl/images/0380/4702/b4cc1.png)
Divide by 7 both sides
![x=1](/tpl/images/0380/4702/dd2c7.png)
The solution of the system is the point (1,-3)
Part 2) we have
----> equation A
----> equation B
Solve the system by substitution
Substitute equation A in equation B
![-8=-2x-12](/tpl/images/0380/4702/ce0f8.png)
Solve for x
Adds 12 both sides
![-8+12=-2x](/tpl/images/0380/4702/6ce72.png)
![4=-2x](/tpl/images/0380/4702/d42eb.png)
Divide by -2 both sides
![x=-2](/tpl/images/0380/4702/7b747.png)
The solution of the system is the point (-2,-8)
Part 3) we have
----> equation A
----> equation B
Solve the system by substitution
Substitute equation A in equation B
![6x=5x+7](/tpl/images/0380/4702/0381c.png)
Solve for x
Subtract 5x both sides
![6x-5x=7](/tpl/images/0380/4702/5e4e9.png)
![x=7](/tpl/images/0380/4702/51ad0.png)
Find the value of y
----> ![y=6(7)=42](/tpl/images/0380/4702/57279.png)
The solution of the system is the point (7,42)
Part 4) we have
----> equation A
----> equation B
Solve the system by substitution
Substitute equation B in equation A
![9=9x-9](/tpl/images/0380/4702/d48a1.png)
Solve for x
Adds 9 both sides
![9+9=9x](/tpl/images/0380/4702/21d4a.png)
![18=9x](/tpl/images/0380/4702/69257.png)
Divide by 9 both sides
![x=2](/tpl/images/0380/4702/2ff0d.png)
The solution of the system is the point (2,9)