Answer:
Eliminate y by adding equations (1) and (3) because the coefficients on y are opposites. Then eliminate y by multiplying equation (1) by 2 and adding it to equation (2).
Eliminate z by subtracting equations (1) and (2) because the coefficients are the same. Then eliminate z by multiplying equation (3) by 2 and adding it to equation (1).
Step-by-step explanation:
The variables have to be the same in both equations in the 2 × 2 system.
All of this should be included
Answer:
(x, y) = (0, -14), (2, -8), (3, -5)
Step-by-step explanation:
Put the given values into the equation and solve.
<u>x = 0</u>
y = 3·0 -14 = -14
<u>y = -8</u>
-8 = 3x -14
6 = 3x . . . . . . add 14
2 = x . . . . . . . divide by 3
<u>x = 3</u>
y = 3·3 -14 = -5
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The ordered pairs in your table are ...
(x, y) = (0, -14), (2, -8), (3, -5)
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<em>Comment on the approach</em>
In this problem, you are only asked for one x-value for a given y-value. If there were more, you would solve the equation generically (x = (y+14)/3) and use that to compute the desired values of x.
Answer: 61°
because this is a parallelogram
=> m∠X = m∠Z
⇔ 7x + 5 = 8x - 3
⇔ x = 8
with x = 8 => m∠X = 7.8 + 5 = 61°
Step-by-step explanation:
Answer:
The price of the cell phone without the coupon= $500
Step-by-step explanation:
Step 1: Express discounted amount
The discounted amount can be expressed as a function of the original cost of the phone as follows;
D=r×A
where;
D=discounted amount
r=coupon rate
A=original price of the cell phone before the coupon
In our case;
r=45%=45/100=0.45
A=a
replacing;
Discounted amount=(0.45×a)=0.45 a
Step 2: Amount she pays up
Amount she pays=Original cost of cell phone-discounted amount
where;
Amount she pays= $275
original cost of cell phone=a
discounted amount=0.45 a
replacing;
$275=a-0.45 a
0.55 a=275
a=275/0.55
a=500
The price of the cell phone without the coupon= $500
