Please help!!! trying to finish early

Mathematics

1 answer:

Scrat [10]3 years ago

6 0

To solve this problem you must apply the proccedure shown below:

The linear functions have the form y=mx+b

where m is the slope and b is the y- intercept

Therefore, you have:

1) The slope -6/5 and b=(0,8) is:

y=(6/5)x+8

2) You have 3x-2y=1. Then, you only have to clear y:

y=(3/2)x-1/2

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Solve systems of equations by algebraically x-2y=7 2x+5y =5

Natali [406]

Answer:

(5,-1) or x=5 y=-1

Step-by-step explanation:

I used the substitution method to solve this!

1. Pick one of your equations and solve for one of the variables. I chose the first equation and solved for x.

x-2y=7

(Move the -2y to the other side of the equation in order to get the x by itself. You do the opposite, so it becomes +2y.)

x=2y+7

2. Now take your second equation and plug in what you got for x into the x variable.

2(2y+7)+5y=5

(Multiple 2 by everything inside of the parentheses.)

4y+14+5y=5

(We want to get the y by itself, so move the 14 to the other side.)

4y+5y=-14+5

(Combine all the like terms.)

9y=-9

(Divide the 9 from the y. What you do to one side you must do to the other.)

y=-1

3. Since you have one variable solved for. Now take the first equation and plug in your y.

x-2(-1)=7

(Multiple -2 by -1)

x+2=7

(Move the 2 to the other side in order to get the x by itself.)

x=5

4. If needed, plug in your x and y values into the equations in order to check your answer.

Hope this could help!

8 0

3 years ago

Read 2 more answers

Adrianne is planning to bake some chocolate, strawberry, and raisin muffins for a party. She was asked to bake half as many choc

Genrish500 [490]

Answer: She can bake 160 raisin muffins.

Step-by-step explanation:

Let the number of raisin muffins be 'x', then

The number of chocolate muffins = $\frac{1}{2}x$

The number of strawberry muffins= $3\times(\frac{x}{2})=\frac{3x}{2}$

Since, the total muffins she can bake 480.

Therefore,

$x+\frac{x}{2}+\frac{3x}{2}=480\\\Rightarrow\frac{2x+x+3x}{2}=480\\\Rightarrow\frac{6x}{2}=480\\\Rightarrow\ x=\frac{480\times2}{6}\\\Rightarrow\ x=160$