​​​​​​−2x+5y=13​ 16x+3y=25​​

Question

−2x+5y=13

16x+3y=25

Answer 1

I assume you are supposed to solve the system of equations....

 

−2x+5y=13   {equation 1}
16x+3y=25    {equation 2}

 

We can easily use elimination.  Multiply equation 1

by 8 and add the equations to eliminate the x variable.

 

-16x + 40y = 104

 16x +  3y  =   25

------------------------

           43y = 129

             y = 129/43

             y = 3

 

Substitute 3 in for y in one of the original

equations to solve for x

 

-2x + 5(3) = 13

-2x + 15 = 13

-2x = -2

x = 1

 

Your point of intersection, the solution, is (1,3)