Solving for y:
5y = 9 + 2y
5y - 2y = 9
3y = 9
y = 9/3 = 3
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If: 5x+2y = 9 Then: y = -2.5x+4.5 in slope intercept form
-6y - 9 = 5y + 24Add 6y to each side of the equation:-9 = 11y + 24Subtract 24 from each side:-33 = 11yDivide each side by 11:-3 = y
2Y + 10 = 28 subtract 10 from both sides 2Y + 10 - 10 = 28 - 10 2Y = 18 divide both sides by 2 Y = 9 -------- check 2(9) + 10 = 28 18 + 10 = 28 28 = 28 checks
First write it out. 5y=9x+160 To get it into slope form, it must become the form y=mx+b. In other words, y must be by itself, so you divide every number by 5. It becomes: y=9/5x+32. So the slope is 9/5.
x-(x-2y)+z=-9 3y-2z=4 2x+y+5z=-5 x-(x-2y)+z=-9 --distribute negative through bracket--> x-x+2y+z=-9 x-x+2y+z=-9 --combine like terms (x)--> 2y+z=-9 2y+z=-9 --isolate z--> z=-9-2y substitute z into second equation: 3y-2(-9-2y)=4 --multiply -2 through bracket--> 3y+18+4y=4 3y+18+4y=4 --subtract 18 from both sides--> 3y+4y=-14 3y+4y=-14 --combine like terms--> 7y=-14 7y=-14 --divide both sides by 7--> y=-2 Substitute value of y into simplified first equation: z=-9-2(-2) --multiply through the bracket--> z=-9+4 z=-9+4 --combine like terms--> z=-5 Substitute values of y and z into third equation: 2x+(-2)+5(-5)=-5 --multiply through brackets--> 2x-2-25=-5 2x-2-25=-5 --combine like terms--> 2x-27=-5 2x-27=-5 --add 27 to both sides--> 2x=22 2x=22 --divide both sides by 2--> x=11 x=11, y=-2, z=-5