Can 4x-2y=12x+2y=8 be solved by adding one of the original equations to the other

Yes, those equations can be solved by adding one of the original equations to the other. And the solution is x = 1 and  y = -2

Step-by-step explanation:

The given equations are

4x - 2y = 8 (1) and

12x + 2y = 8 (2)

Now, those two equations can be solved by adding one of them to another.

So, by adding equations (1) and (2) we get,

(4x + 12x) = 8 + 8 = 16

⇒ 16x = 16

⇒ x = 1

Again, from equation (1) we get, 4(1) - 2y = 8

⇒ 2y = 4 - 8 = - 4

⇒ y = - 2

Hence, the solution is x = 1 and y = -2. (Answer)

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold