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kherson [118]
3 years ago
11

System of equations by substitution how do this? y= x+2 y= -4x+7

Mathematics
1 answer:
jekas [21]3 years ago
8 0
Equations are given,
y= x+2
<span>
y= -4x+7

As you can see both the expressions, x+2 and -4x+7 are equal to "y". That means they are equal to each other too.

So let's equal them and solve it.

</span>x+2=-4x+7\\ \\ x+2+4x=7\\ \\ x+4x+2=7\\ \\ 5x+2=7\\ \\ 5x=7-2\\ \\ 5x=5\\ \\ x=\frac { 5 }{ 5 } \\ \\ x=1
<span>
Now we have x's value we will plug it in the first equation to find "y".

</span>x=1\\ \\ y=x+2\\ \\ y=1+2\\ \\ y=3
<span>
(1,3)</span>
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Nicole has a job transporting soft drinks by truck. Her truck is filled with cans that weigh 14 ounces each and bottles that wei
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Answer:

W_{total} =  -56X + 68600

Step-by-step explanation:

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1) "x" as number of cans inside the truck.

2) "y" as number of bottles inside the truck.

We now that the amount of both cans and bottles inside the truck is "980". This quantity is equal to the sum of cans and bottles, so now we can write:

X+Y=980

We will call this expression equation n° 1.

On the other hand, we know that the total weight is a sum of the weight of the cans and the weight of the bottles. The total weight of the cans, for example, is the result of  multiplying the numbers of cans in the truck with the weight of each can, like here: (W_{cans} = X * 14 oz

So now we can write:

W_{total} = (X*14oz) + (Y*70oz)

We well call this expression equation n° 2.

From equation n°1 we obtain "y", like this:

X + Y = 980\\Y = 980 - X

And we replace it in equation n°2:

W_{total} = (X*14) + (Y * 70)\\\\W_{total}  = 14X + 70Y\\W_{total}  = 14X + 70(980-X)\\W_{total}  =  14X + 68600 - 70X\\W_{total} =  -56X + 68600

Now we have the expression of the total weight considering the amount of cans in the truck.

*** IMPORTANT: there is a character similar to an "A" that i can't erase, maybe is a mistake from brainly. Do not consider it as part of the solution.

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