Answer:
C. (-1, 3)
Step-by-step explanation:
Label the 2 equations:
5y= 7x +22 -----(1)
x= -6y +17 -----(2)
Substitute (2) into (1):
5y= 7(-6y +17) +22
5y= -42y +119 +22 <em>(</em><em>Expand</em><em> </em><em>bracket</em><em>)</em>
5y= -42y +141 <em>(</em><em>Simplify</em><em>)</em>
42y +5y= 141 <em>(</em><em>+</em><em>42y</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
47y= 141
y= 141 ÷47 <em>(</em><em>÷</em><em>4</em><em>7</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
y= 3
Substitute y= 3 into (2):
x= -6(3) +17
x= -18 +17
x= -1
Thus, the solution is (-1, 3).
Y = 2x + 2
Y = 2x -
Subtract
0 = 2
This makes no sense meaning the lines are parallel. Therefore there are 0 solutions.
Answer:
Step-by-step explanation:
Let us represent:
Apple pie = a
Cherry pie = c
Peach pie = p
A bakery has three types of pie: apple, cherry, and peach.
There are four times as many apple pies as peach pies.
a = 4p
Answer:
2
Step-by-step explanation:
When given a fractional power, you want to try to see if the base has any power that can be used to simplify the power.
Since a^b/c =
![\sqrt[b]{ {a}^{c} }](https://tex.z-dn.net/?f=%20%5Csqrt%5Bb%5D%7B%20%7Ba%7D%5E%7Bc%7D%20%7D%20)
8^1/3=
![\sqrt[3]{ {8}^{1} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%7B8%7D%5E%7B1%7D%20%7D%20)
8 times by it self it 8
cube root of 8 is three numbers that are the same and times by each other to give 8
2×2×2=8
》2
Parallel lines must have the same slope. However for them to be UNIQUE lines, ie different lines, they must have a different y-intercept.
So if we say generally that a line is y=mx+b where m is the slope and b is the y-intercept then these two unique parallel lines would be:
y1=mx+h and y2=mx+k
Where m is the same for both and each have unique constants h and k where they cross the y-axis
