Solve the following system of equations. express your answer as an ordered pair in the format (a, b), with no spaces between the numbers or symbols. 3x+4y=16 -4x-3y=-19

(4,1)

Step-by-step explanation:

3x+4y=16

-4x-3y=-19

I will solve this system by elimination.  I will eliminate x

Multiply the first equation by 4 and the second equation by 3

4 (3x+4y)=4*16

12x + 16y = 64

3 (-4x-3y)=3*-19

-12x -9y = -57

Add the two modified equations together to eliminate x

12x + 16y = 64

-12x -9y = -57

7y = 7

y=1

We still need to find x

3x+4y = 16

Substitute y=1

3x+4(1) = 16

3x+4=16

Subtract 4 from each side

3x = 16-4

3x =12

Divide each side by 3

3x/3 = 12/3

x=4

4.6875 pounds

step-by-step explanation: