Question

Solving Systems of Linear Equations by graphing. 3y+4x=3 and x+3y=-6. Can someone help me with where the lines intersect and show me how they solved it on paper? I keep getting it wrong even though i think its right but i just need a second opinion

Answer 1

The best way to do this question is to use elimination. Elimination is a way to find out the POINT OF INTERSECTION between two lines. Let me show you how.

3y+4x=3
x+3y=-6

Elimination is a way to remove any same variable with the same coefficient. In this case, there is 3y in both equations. In this case, we subtract to eliminate.

3y-3y+4x-x=3+6  It's plus 6 because two negatives become positive.
3x=9  Divide both sides by 3
x=3

Now you can find y.

x+3y=-6
3+3y=-6
3y=-9
y=-3

Therefore, the POI is (3,-3). I hope you understand this. Make sure to mark as brainliest.