What is the solution to the system?

1 answer:

7 0

Point slope form again

-3-9/3+1= -3

y+1=-3(x-9)

y+1=-3x+27

y=-3x+26

5+1/2+1=2

y+1=2(x+1)

y+1=2x+2

y=2x+1

For your system of equations you have

y={y=-3x+26}
y={y=2x+1}

There is a couple ways you can solve this. You could either use a subtraction method, or a substitution method. since they are both y = something i would just substitute one y in one or the other equation.

2x+1=-3x+26

5x+1=26

5x=25

x=5

So now you just plug in x = 5 for each quotation and you have your y's for both solution points

y=-3(5)+26
y=11

y=2(5)+1
y=11

So this works out nice, your solutions for the set of equations is (5,11) since they are the same points

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stepan [7]

$x= \frac{-5.5+(-0.5)}{2}= \frac{-6}{2}=-3 \\ \\ y= \frac{-6.1+9.1}{2}= \frac{3}{2}=1.5$

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3 0

3 years ago

14. Yang owed two credit cards with balances of $7,500 and $3,500. The card with the $3,500 balance charged 1.4% more than the o

NeTakaya

The simple interest on the balance of $3,500 is 8.88%

The simple interest on the balance of $7,500 is 7.48%

What is simple interest?

The simple interest on a credit card is the annual interest multiplied by the credit card balance, in other words, the total interest paid on both credit cards in the year under review summed up to $797.

Let us assume that simple interest on the credit card with a balance of $7500 is X

interest=$7500*X

The interest on the other credit card would be X+1.4%

interest in dollars=$3500*(X+1.4%)

total interest cost in dollars on both cards can be determined as the sum of the interest costs

total interest=$7500*X+$3500*(X+1.4%)

total interest=7500X+3500X+49

total interest=797

797=7500X+3500X+49

797=10000X+49

797-49=10000X

748=10000X