Y+2=3(x-1)y=-2x+10
What is the solution to the system ( , )

(3, 4)

Step-by-step explanation:

y+2=3(x-1)y=-2x+10 should be written as y + 2 = 3(x - 1)      y = -2x + 10 or

y + 2 = 3(x - 1)      

y = -2x + 10

Let's eliminate y temporarily.  Substitute -2x + 10 for y in the first equation, obtaining:

-2x + 10 + 2 = 3x - 3

Now combine the x terms on the right and the constants on the left:

10 + 2 + 3 = 3x + 2x

so that

15 = 5x.  Then x must equal 3.  Using the second equation, we now find y by substituting 3 for x:  

y = -2(3) + 10, or y = 4

The solution to this system is (3, 4)