To solve this system of equations by elimination, what operation could be used to eliminate the x-variable and find the value of y? 6x +5y=10 4x +2y = 8

You would have to multiply the first equation by -2 and the second equation by 3.

If you multiply the first equation by -2 and the second by 3, you would be able to eliminate the x variables and solve for the y.

This is what you would have:

-12x  - 10y = -20
12x + 6y = 24

-4y = 24

A] The least square estimation that models that data will be given as follows:
m(x-x1)=y-y1
where:
slope,m=(y-y1)/(x-x1)
m=(5.15-3.8)/(1997-1990)
m=0.193
taking 1978 as our x=0, 1990 will be x=12
thus the equation will be:
0.193(x-12)=y-3.8
0.193x-2.316=y-3.8
thus
y=0.193x+1.484

b]
The minimum wage in 2025 will be as follows:
x=2025-1978=47
thus plugging the values in the equation we get:
y=0.193(47)+1.484
y=10.555