Math question for linear Systems? 10 points

The question is :

y = -4x + 16
y = 3x + 2

Can someone explain to me how to solve this?

Since -4x + 16 equals y and 3x + 2 equals y, then -4x + 16 and 3x + 2 equal each other.
-4x + 16 = 3x + 2
14 = 7x
x = 2
y = 3(2) + 2 = 8

since y is the solution for both equations, set the 2 equations equal to each other

-4x + 16 = 3x + 2 subtract 3x from each side
-7x + 16 = 2 subtract 16 from each side
-7x = -14 divide each side by -7
x = 2 substitute this value of x into either of the original 2 equations
y = 3(2) + 2 = 6 + 2 = 8
solution is (2, 8)

Use linear combination, substitution, or matrices:
Using substitution we can set the equations equal to one another: -4x+16=3x+2
Solve for x. 16= 7x+2. 14=7x. x= 2
Put x=2 into one of the equations to find y. Y=8

Solve for x in one of the equations and plug in to the other to solve for y. Then use the value of y you get and plug in to the first equation to find x.

since they are both equal to y, you can make it -4x + 16=3x + 2. Then, you could do many things. I would add 4x and subtract 2. That makes it that makes it 7x=14. Then you divide by 7 and get x=2. Hope this helps!

Use substitution method
3x+2=-4x+16 , solve for x , then find y