Solve the equation
5(-4a+8)-5(6a-5)=15

For 1 and 2, you plot both lines, and wherever they intersect is the solution to the system. Given the equation of a line, I think the easiest way to plot it is to find two points on the line, then draw a line through them. For example, if , then when , you get ; when , you get . So plot the points (0, -1) and (1, 4), then strike a line through.

1. Notice that dividing both sides of by 2 returns , same as the first equation. So the system of equations reduces to one equation, which can have an infinite number of solutions. (This is because for any choice of or , you can always find a corresponding value for the other variable.)

2. See attached image. is given by the purple line.

For 3-6, you have several options. The two simplest methods of solving them are by substitution or elimination.

3. Like with (1), notice that dividing both sides of the first equation by 2 gives , so there will be an infinite number of solutions.

4. (by substitution) Since , we can replace in the second equation:

but this is false, so there are no solutions to this system.

5. (by substitution) Since , in the first equation we have

Then back in the second equation we find

So (-4, -3) is the only solution here.

6. (by substitution) Notice that the left hand sides of both equations are the same, so we end up with 7 = 12, but this is false, so no solution exists.

She will need 210g amount of fruit.

We are given that Emily needs 60g of fruit and 100 ml of juice to make a small smoothie.

Since she follows the same recipe to make a large smoothie and large smoothie uses 350 ml of juice.

Therefore,

100ml x 3 = 300ml

100 : 2 = 50

300 + 50 = 350

Similalry;

60 x 3 = 180g

60 : 2 = 30

180 + 30 = 210g

Learn more about the unitary method, please visit the link given below;

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Answer:

domain: {2,4,8,1,-5}

range: {0,-2,6}

Step-by-step explanation:

the domain is the x-values in the ordered pair while the range is the y-values.

hope this helped!!

Answer:

Darin drove '2m - 20' miles.

Step-by-step explanation:

We are given that Sam drove 'm' no. of miles.

As, it is also given that Kara drove twice as many miles as Sam. Therefore we get that Kara drove '2m' no. of miles.

Now, it is given that Darin drove 20 miles fewer than Kara .i.e. Darin drove '2m - 20' no. of miles.

Hence, in terms of m, Darin drove '2m - 20' miles.