Solve the following system by graphing. If there isn't a unique solution to the system, state the reason. y=-2x y=2x+4
1 answer:
Answer:
We have the system of equations:
y = -2*x
y = 2*x + 4.
To solve it by graphing, you need to graph both lines and see in which point the lines intersect each other.
You can see it in the image below. (blue is y = 2*x + 4, and green is y = -2*x)
We also can calculate the solution with math, let's do that:
y = -2*x
y = 2*x + 4.
We can replace the first equation in the second one, to get:
-2*x = 2*x + 4
Now let's solve this for x
-2*x -2*x = 4
-4*x = 4
x = 4/-4 = -1
Evaluating this in one of the equations we get:
y = -2*-1 = 2
Then the solution is the point (-1, 2), exactly what we can see in the graph.
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The price of 1 sweater before the tax and coupon is $ 13.6
<u>Step-by-step explanation:</u>
Jocelyn bought 2 sweaters for the same price.
The total amount she paid for 2 sweaters is 23.56 dollars.
To find the price of 1 sweater we have to remove the tax and discount amounts.
The tax amount = 1.36 dollars.
The total amount for 2 sweaters excluded tax amount= 23.56 - 1.36.
= 22.2 dollars.
The total amount for 2 sweaters after removing discount amount =22.2+5.00.
= 27.2 dollars.
2 sweaters= 27.2.
1 sweaters = .
= 13.6 dollars.
∴ The price of 1 sweater before the tax and coupon is $ 13.6