Answer:
x=5, y=-3
Step-by-step explanation:
we can find the answer by plugging in x=3y+14 to the second equation
5(3y+14)-2y=31
simplify
15y+70-2y=31
13y=-39
y=-3
now, plug in this to the initial equation x=3y+14
x=3(-3)+14
x=-9+14
x=5
Answer:
click on the thanks button
7y-2=5y+4
+2 +2
__________
7y= 5y + 6
-5y -5y
__________
2y= 6
Y=3
3x+2=23
3x =21
x= 7
7(3) -2= 5(3)+4
19=19
x=19
3(7)+2=23
23= 23
Y=23
Adding and subtracting property
Answer:
14.2cm
Step-by-step explanation:
Complete question:
<em>In circle O, the length of radius OL is 6 cm and the length of arc LM is 6.3 cm. The measure of angle MON is 75°. </em>
<em>Rounded to the nearest tenth of a centimeter, what is the length of arc LMN? </em>
<em></em>
Find the diagram attached
arc LN= arc LM + arc MN
First we need to get the arc MN
length of an arc = theta/360 * 2πr
length of arc MN = 75/360 * 2(3.14)(6)
length of arc MN = 0.20833*37.68
length of arc MN = 7.85
Hence;
arc LN = 6.3 + 7.85
arc LN = 14.15cm
Hence the length of arc LN is 14.2cm
The given equations are
12x + 4y = 152 ...........1
32x + 12y = 420 .....2
Multiplying equation 1 by 3 to make coefficient of y same we have:
36x+12y= 456
32x+12y=420
Subtracting the two equations we have:
4x=36.
Dividing by 4 both sides
x= 9.
Substituting x value in equation 1
12(9) + 4y = 152
108+4y=152
Subtracting 108 both sides: 4y=44.
Dividing both sides by 4.
y=11.
cost of the vegetarian lunch is $11.
In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch.
