SOLUTION: Systems of Equations with Simple Elimination -3x+2y=0 -5x-2y=-48 What does x= & y=?

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Question 923660: Systems of Equations with Simple Elimination
-3x+2y=0
-5x-2y=-48
What does x= & y=?
Found 3 solutions by MathLover1, TimothyLamb, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
-3x%2B2y=0
-5x-2y=-48
______________________________

Solved by pluggable solver: Linear Systems by Addition
We'll solve the system:
-3%2Ax+%2B+2%2Ay+=+0
-5%2Ax+%2B+-2%2Ay+=+-48
by elimination by addition.To eliminate by addition, we need to set both coefficients of x to numbers with changed signs, i.e a and -a. Since in the second equation we have -5 as our coefficient for x, to get 3 we have to multiply all terms of the second equation by 3%2F-5 which is equal to -0.6.

Multiplying, we get on our second equation:%28-5%2A-0.6%29x+%2B+%28-2%2A-0.6%29y+=+-48%2A-0.6
3%2Ax+%2B+1.2%2Ay+=+28.8

Adding both equations we get:

%28-3%2B3%29x+%2B+%282%2B1.2%29y+=+%280%2B28.8%29

Since -3 and 3 cancel out, we have a linear equation:Therefore, we know that y = 9.

Plugging that in into the first equation gives us:

-3%2Ax+%2B+2%2Ay+=+0
-3%2Ax+%2B+2%2A9+=+0
-3%2Ax+%2B+18+=+0
-3%2Ax+=+0+-+18
x+=+%280+-+18%29%2F-3
x+=+-18%2F-3
x+=+6

Therefore, our answer is:

system%28+x=6%2C+y=9+%29


see it on a graph:



Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
-3x+2y=0
-5x-2y=-48
---
put the system of linear equations into standard form
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-3x + 2y = 0
-5x - 2y = -48
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = 6
y = 9
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Systems of Equations with Simple Elimination
-3x+2y=0
-5x-2y=-48
What does x= & y=?
- 3x + 2y =    0 ------- eq (i)

- 5x - 2y = - 48 ------- eq (ii)

- 8x      = - 48 ------- Adding eqs (ii) & (i)

x+=+%28-+48%29%2F%28-+8%29, or highlight_green%28x+=+6%29



- 3(6) + 2y = 0 -------- Substituting 6 for x in eq (i) 

- 18 + 2y = 0

2y = 18

y+=+18%2F2, or highlight_green%28y+=+9%29