Use elimination to solve for x and y: 28x-49y=35 4x+7y=5
To solve this system of equations using elimination, we want to get the coefficients of either x or y to be equal in both equations. In this case, we can make the coefficients of y equal by multiplying the entire second equation by 7 so that the coefficient of y is 49 in both equations:
28x - 49y = 35
28x + 49y = 35
Now, we can add the two equations together to eliminate y:
28x - 49y + 28x + 49y = 35 + 35
56x = 70
Dividing both sides by 56:
x = 70/56
x = 5/4
Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the first equation:
28(5/4) - 49y = 35
70 - 49y = 35
-49y = -35
y = 35/49
y = 5/7
Therefore, the solution to the system of equations is x = 5/4 and y = 5/7.