I was absent and I dont remember how to do this so can someone help me?:)
--write each equation in standard form using integers.
21. y=4x - 11
26. y=43 - 4x
27. y= -(4/5)x + (6/5).......those are fractions
29. y=(5/2)x - 22
34. The student council is sponsoring a carnival to raise money. Tickets cost $5 for adults and $3 for students. The student council wants to raise $450.
a. Write an equation to find the number of each type of ticket they should sell.
b. Graph your equation
c. Use your graph to find two different combinations of tickets sold
Thanks so much to whoever can help because this is really confusing me:/
--write each equation in standard form using integers.
21. y=4x - 11
26. y=43 - 4x
27. y= -(4/5)x + (6/5).......those are fractions
29. y=(5/2)x - 22
34. The student council is sponsoring a carnival to raise money. Tickets cost $5 for adults and $3 for students. The student council wants to raise $450.
a. Write an equation to find the number of each type of ticket they should sell.
b. Graph your equation
c. Use your graph to find two different combinations of tickets sold
Thanks so much to whoever can help because this is really confusing me:/
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Standard form for a linear equation is Ax+By=C.
21) You have 1y=4x-11. You can rearrange that to 11=4x-y by adding 11 to both sides and then subtracting 1y from both sides. So standard form for 21 is 4x-y=11.
26) 1y=43-4x turns into 4x+y=43 because you can add 4x to each side.
27) add 4/5x to both sides to get 4/5x+y=6/5. But then you want answers to be integers (whole numbers), so you multiply both sides by five. Your answer would be 4x+5y=6
29) add 22 to each side and subtract y from each side to get 5/2x-y=22
34)
a) Your equation should represent the variables in the problem. Let's say X is students and Y is for parents. With this, you have to say $3 for every student plus $5 for each adult adds up to $450.Your equation would be 3X+5Y=450.
b) rearrange in y=mx+b (slope intercept form). The m represents slope and the b represents the y intercept. By subtracting 3X from each side and the dividing the entire equation by 5, you would get y=-3/5x+90. In this case m=-3/5 and b=450.
c) If you look at the graph you make you should then be able to figure out two values for x and two value for y that should make this equation work. You can also do this by plugging a number in for x and solving for y. Of course you could check your answers by plugging both answers back into an equation and seeing if it is balanced.
21) You have 1y=4x-11. You can rearrange that to 11=4x-y by adding 11 to both sides and then subtracting 1y from both sides. So standard form for 21 is 4x-y=11.
26) 1y=43-4x turns into 4x+y=43 because you can add 4x to each side.
27) add 4/5x to both sides to get 4/5x+y=6/5. But then you want answers to be integers (whole numbers), so you multiply both sides by five. Your answer would be 4x+5y=6
29) add 22 to each side and subtract y from each side to get 5/2x-y=22
34)
a) Your equation should represent the variables in the problem. Let's say X is students and Y is for parents. With this, you have to say $3 for every student plus $5 for each adult adds up to $450.Your equation would be 3X+5Y=450.
b) rearrange in y=mx+b (slope intercept form). The m represents slope and the b represents the y intercept. By subtracting 3X from each side and the dividing the entire equation by 5, you would get y=-3/5x+90. In this case m=-3/5 and b=450.
c) If you look at the graph you make you should then be able to figure out two values for x and two value for y that should make this equation work. You can also do this by plugging a number in for x and solving for y. Of course you could check your answers by plugging both answers back into an equation and seeing if it is balanced.