SOLUTION: solve the equations by multiplying by a factor : 2x+y=5 3x-3y=3

Question 282533: solve the equations by multiplying by a factor :
2x+y=5
3x-3y=3

Answer by Monkibat(7) (Show Source): You can put this solution on YOUR website!
solve the equations by multiplying by a factor :
2x+y=5
3x-3y=3
When looking at this problem look for what equation is easiest to multiply a number by and will result in the x or the y to cancel out with the other equation. In this particular problem, look at the y's in both equations. One y is positive and one y is negative. If the positive y was a 3y it would cancel out with the -3y.
In that case multiply the whole top equation 2x+y=5 by 3. The new equation will be 6x+3y=15. Now add the new equation 6x+3y=15 to 3x-xy=3. 6x+3x=9x, 3y-3y cancel out, and 15+3=18. Now you have 9x=18. Divide both sides by 9 to solve for x. x=2
Now take the 2 and plug it in for x in one of the original equations to solve for y. We will plug it into 2x+y=5, 2(2)+y=5, 4+y=5. Now subtract 4 from both sides. y=1.
Now you have to check your answers by plugging in 2 for x and 1 for y into one of the original equations. We will plug it into 3x-3y=3, 3(2)-3(1)=3, 6-3=3. That is correct, 6 minus 3 equals three. Your answer is correct. x=2 and y=1
RELATED QUESTIONS
Can u solve these problems by steps? 1 3/2x+4=-9 3/2x=-9-4 2 2(3x-7)+4x=26 (answered by hamda,bijar)

Solve by addition. -3x + y = 3 2x - 3y =... (answered by checkley71)

solve the system of equations by addition 2x+y=5... (answered by MathLover1)

solve each system of linear equations by addition or elimination 2) 2x + y = 5... (answered by jim_thompson5910)

Solve. 2x - 3y + z = 5 x + 3y + 8z = 22 3x - y + 2z = 12 I've tried it by:... (answered by solver91311,Edwin McCravy)

the problem says solve each system of equations by substitution. -3x+y=-4... (answered by jim_thompson5910)

solve the following equations for x and y by elimination 3x + 3y=0 2x -... (answered by jennywecas)

solve by multiplying... (answered by Tatiana_Stebko)

Hi: I wondered if you could check this problem for me... Solve each system by the... (answered by scott8148)