Summarizing the problem, there are three terms that you have to deal with: purchasing cost, down payment and loan. So, you would expect that the answer would contain these quantities. Among them, the unknown is the purchasing cost, therefore, we denote this as x.
<span>Based on the statement, "The amount of the loan is the purchase cost minus the down payment", we can formulate an equation for this.
Amount of Loan = x - Down payment
This will be our working equation. Moving on, the down payment was mentioned to be equal to </span>$1500. The lean received is equal to <span>$2600. Substituting these values to the working equation, we can now determine the value of x.
2600 = x - 1500
Solving for x by transposing it to one side,
x = 2600-1500
x = $1,100
Therefore, the purchasing cost of the car is $1,100.</span>
Take the second equation and flip it around so the y on the left ends up on the right and the 4x on the right ends up on the left. This makes all negatives positive and all positives negative. -4x + 12 = y
Then add the first equation to the second equation
4x +12 = -7y
<u>-4x + 12 </u>=<u> y </u> this eliminates the x's
<u>24</u> = -<u> 6y</u> then divide by - 6
- 6 - 6
- 4 = y<u>
</u>So if you know that y = negative 4, you can substitute into either equation. I pick the second one because I am a lazy person.
-y + 12 = 4 x
-(-4) + 12 = 4 x combine your numbers<u>
</u> <u> 16 </u> = <u>4 x </u> then divide by 4<u>
</u> 4 = x
So your solution is: x = 4 and y = -4 or this is also written (4, -4)
Does that work for you?
CL ≈ AE and HG≈ZR and ∠L≈∠E as both triangles are isosceles so CL=HL and AE=EZ
so HL≈AE≈ZR≈EZ so according to side angle side ΔCLH andΔ AZE both are congruent so side CH≈AZ
$3.75 would be rounded up and changed to $4
