Answer:
(-7,-4)
Step-by-step explanation:
There are 2 different ways to solve a system of equations and the one I'm going to show you will work for all systems. To start we will solve one of the equations for either X or Y it doesn't matter which one so I will choose the second one. Divide both sides by negative 4 and you will have the solved equation. x=1+2y Now we know what x equals so we can plug "1+2y" into the other equation where we see an X and we will get -8(1+2y)=24-8y and since we only have one variable now we can solve to get what Y is. The first step is distributing -8-16y=24-8y now lets put the Y's together on one side and the numbers together on the other -32=8y and just divide both sides by 8 to get the value of Y -4=y Now that we have Y we can plug -4 into either equation as Y to get the value of X I will use the second equation. -4x=-4-8(-4) and solve for X -4x=-4+32 -4x=28 x=-7 So now we have x and y and we can write it as out solution (-7, -4)
I hope this helps and please don't hesitate to ask if there is anything still unclear!
A coplanar point are points that lie on the same line. An angle is the intersection of two noncollinear rays at a common endpoint. The rays are called sides and the common endpoint is called the vertex.
hope that helps
Answer:
Each person get less than 1 cup of cider.
Step-by-step explanation:
1. Calculate the amount of cider served to each person:
Total amount of cider is 48 fluid ounces
Gus serves 7 people
Let Q the amouunt of cider served to each person:

Then, each person recived 6.85 fluid ounces of spiced cider.
2. Calculate the number of cups served:
Considering that 1 cup=8 fluid ounces, then:

That means that each person recived 0.85 cups of spiced cider.
Each person get less than 1 cup of cider.
Answer: 120 grams.
Step-by-step explanation:
Let x be the amount of sugar syrup made by 5% sugar syrup using 6g sugar.
Also, 5% =0.05
Therefore, 5% sugar syrup =5% of x = 0.05x
According to the question, we have

Hence, 120 grams sugar syrup is made by 5% sugar syrup of 6g sugar.