Question 947934
Solve the system using elimination.
 
4x - 5y = 11
6x + 7y = 31

We eliminate one of the variables and solve for the other variable

In this we can first eliminate "y". This can be done by multiplying the first equation by 7 and the second one by 5, we get

28x - 35y = 77
30x + 35y = 155

Adding the above two equations we get

58x = 232

Dividing by 58 on both sides we get

x = 4

To find the value of y we plug x=4 in any of the given equations

4(4) - 5y = 11

16 - 5y = 11

    -5y = -5

      y = 1 
Therefore (x,y) = (4,1) [Option (d)]