We need to solve the next system of equations by using elimination:
1) x + 4y = 10
2) x -+7y = 16
Subtract both equations:
x + 4y = 10
-
( x - 7y = 16)
------------------------
x-x + (4y-7y) = 10-16
0 -3y = -6
Solve for y
-3y = -6
Divide both sides by -3
-3y/ -3 = -6/-3
Then:
y = 2
Now, replace this y-value on the first equation:
1) x + 4y = 10
x + 4(2) = 10
x + 8 = 10
Solve the equation for x:
Subtract both sides by 8
x + 8 -8 = 10 -8
x = 2
Therefore, x =2 and y =2