Question

Solve the following system of equations: (2 points) 5x + y = 9 3x + 2y = 4 a (−2, 5) b (1, 4) c (2, −1) d (4, −4)

Answer 1

X = 2
Y = -1

How to solve -

You can subtract the equations
to do that you have to find a way to get rid of one of the variables.

Easiest way to do this based on these equations is by multiplying one of the equations by -2.

-2(5x + y =9)

From there you’d get

-10 x - 2 y = -18

Now you can add the equations since you already distributed the negative two to the equations.

10 x - 2 y = -18
+
3 x + 2 y = 4
————————
-7 x = - 14

x = 2

To find y, you have to substitute x =2 into one of the equations.

5(2) + y = 9
———————
y = -1