Question

Which values of x and y satisfy 2x − y = 7 and 3x − 2y = 5 simultaneously?

x = 1 and y = -5

x = 1 and y = -1

x = 4 and y = 1

x = 9 and y = 11

Answer 1

This system of equations appears ideal for solving using the "substitution" method.

You can do this by taking the first equation 2x - y = 7 and solve for y, you should get y= 2x-7.

Now substitute this for y in the second equation (3x-2y=5) after substitution it would look like this:
3x - 2(2x-7) = 5 which becomes
3x -4x + 14 = 5 which becomes
-x =-9 or x = 9. Now plug that value for x into the second equation and solve for y.

Answer 2

the answer is D

Answer 3

thank you