Question

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

Answer 1

The answer is (4,1)

Explanation: You have to make either the number with the variable x or y in front of it in the 1st equation to match the number with the variable x (if x is going to match) or y (if y is going to match).

3x+4y=16 (4)
-4x-3y=-19 (3)

12x+16y=64
-12x-9y=-57

7y=7

y=7

Then you plug in your y in the two equations and solve for x.

3x+4(1)=16
-4x-3(1)=-19

3x+4=16
-4x-3=-19

3x+4-4=16-4
-4x-3+3=-19+3

3x=12
-4x=-16

3x/3=12/3
-4x/-4=-16/-4

x=4
x=4

Answer 2

The correct answer to this question is (4,1)