2x -3y = 13
4x -y = -9
Multiply the second equation by -3 to make the coefficient of Y opposite the first equation.
4x -y = -9 x -3 = -12x + 3y = 27
Now add this to the first equation:
2x -12x = -10x
-3y +3y = 0
13 +27 = 40
Now you have :
-10x = 40
Divide each side by -10:
x = 40 / -10
x = -4
Now you have a value for x, replace that into the first equation and solve for y:
2(-4) - 3y = 13
-8 - 3y = 13
Add 8 to both sides:
-3y = 21
Divide both sides by -3:
y = 21/-3
y = -7
Now you have X = -4 and y = -7
(-4,-7)
Answer:
x=80
Step-by-step explanation:
The sum of interior angles in a quadrilateral is 360°
the square represents a right angle= 90 degrees
124+66+90=280
360-280=80
x=80
Answer:
2
Step-by-step explanation:
For any positive numbers a,b we always have the following identity:

(gcd(a,b) denotes the greatest common divisor between a and b, and lcm(a,b) denotes the least common multiple between a and b)
In our case, we are given that
and that
. Plugging that in into our identity, we get:

And so solving for
:

5x+10y=4750
x+y=600
x=250
y=350
250 theater tickets
350 orchestra tickets
Answer:
12
Step-by-step explanation:
List out factors of 60 =
1 x 60 = 60
2 x 30 = 60
3 x 20 = 60
4 x 15 = 60
5 x 12 = 60
6 x 10 = 60
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60 are factors of 60.
List out multiples of 6 from 10 to 20.
12 and 18.
Since 12 is seen on one of the factors of 60 and a multiple of 6 between 10 and 20, the answer is 12.