Answer:
(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)