Answer: It has one solution. The solution is (x,y) = (-4,-3)
Add up the equations doing so straight down
x + -x = 0x = 0 so the x terms go away
2y + 2y = 4y
-10 + (-2) = -12
We end up with 4y = -12 so y = -3 after you divide both sides by 4. Use this y value to find the value of x
x+2y = -10
x + 2(-3) = -10
x - 6 = -10
x = -10+6
x = -4
The single solution is (x,y) = (-4,-3)
As a check, plug this solution into each equation to see if you get a true statement or not. Let's do so with the first equation
x+2y = -10
-4 + 2(-3) = -10
-4 - 6 = -10
-10 = -10 .... true
and then the second equation
-x+2y = -2
-(-4) + 2(-3) = -2
4 - 6 = -2
-2 = -2 .... true
both equations are true, so the solution is confirmed
Answer:
30 questions
Step-by-step explanation:
You can discover this by doing 27 divided by . 90 which equals 30.
Cos = adjacent / hypotenuse
cos B = 4/5
B = cos^-1 (4/5)
B = 36.869897....
B = 36.87° (nearest hundredth)
Angle B = 36.87°.
Equation to find number:
- 3 = 
Number's value: n = 
Step-by-step explanation:
Let n be the unknown number.
The reciprocal basically makes the number (n in this case) a fraction. So, that being said, the reciprocal of n would be
.
The difference of three and the reciprocal of a number (
) would be
- 3.
The quotient of 20 and the number (n) would be
.
So, with this information we've gathered so far, we can come up with an equation to find what the number equals.
Equation:
- 3 = 
To find what the number equals we must solve the equation.
Answer:
7 units
Step-by-step explanation: