X= cost per pizza
y= cost per soda
1ST VISIT TO RESTAURANT
x + 2y= $15.95
2ND VISIT TO RESTAURANT
3x + 5y= $45.90
STEP 1
multiply equation from 1st visit by -3. Will be able to solve by elimination method in step 2.
-3(x + 2y)= -3(15.95)
multiply -3 by each term
(-3 * x) + (-3 * 2y)= (-3 * 15.95)
-3x - 6y= -47.85
STEP 2
add 2nd visit equation to new 1st
visit equation in step 1.
3x + 5y= 45.90
-3x - 6y= -47.85
x term will cancel out; solve for y
-y= -1.95
divide both sides by -1
y= $1.95 per soda
STEP 3
substitute y value in either original equation to solve for x
x + 2y= $15.95
x + (2 * 1.95)= 15.95
multiple in parentheses
x + 3.90= 15.95
subtract 3.90 from both sides
x= $12.05 per pizza
CHECK
3x + 5y= $45.90
3(12.05) + 5(1.95)= 45.90
36.15 + 9.75= 45.90
45.90= 45.90
ANSWER: Each pizza costs $12.05 and each soda costs $1.95.
Hope this helps! :)
Since the slopes of the two lines are the not equal, they will have only one solution. The solution will be a point and can be found using the method given below.
We can find the solutions by simultaneously solving the two equations.
From first equation, the value of y comes out to be:
Using this value of y in second equation, we get:
Using this value of x, we can find y:
Therefore, there is only one solution to the given equations is which is (12, -9)
Answer:
Step-by-step explanation:
÷ 6
leave the fraction, change division to multiply, turn 6 upside down
= × 
( cancel 2 and 6 by 2 )
= 
×
= 
=
The answer is D just so you know
Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
=======================================================
Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
