Use the elimination method to solve the system for x and y.

Use the elimination method to solve the system for x and y.

16x+7y=25
4+8x-2y=0

elimination method asks us to solve the problem by eliminating one of the variables, either x or y...

16x + 7y = 25
08x - 2y = -04

(I am adding zeroes just for the sake of alignment :D)

in order to "remove" x, multiply the second equation by 2, for both sides of the equation...

16x + 7y = 25
16x - 4y = -08

subtract the second equation from the first one...

11y = 33

perform arithmetic

y = 3

use the value of y in one of the equations, to get x...

16x + 7y = 25
16x + 7(3) = 25
16x + 21 = 25
16x = 25 - 21
16x = 4
x = 0.25 or 1/4


hope this helps!
chi

Multiply one of the equations so after addition one of the variables would be removed.
16x+7y=25
8x-2y=-4 * (-2)
Equals to
16x+7y=25
-16x+4y=8
Perform the addition:
16x+(-16x)+7y+4y=25+8
Equals to:
11y=33
Divide from 11:
11y/11=33/11
Equals to:
y=3
Insert y into one of the starting equations:
16x+7*3=25
Then:
16x=25-21
16x=4
x=4/16=1/4

y=3, x=1/4