Answer:
x = 7, y = 6
Step-by-step explanation:
solve for y for the first equation
2x + y = 20
-2x -2x , eliminate 2x
y = 20-2x
now that we have found y, substitute the y in for the second equation
-5y = -6x + 12
-5(20-2x) = -6x + 12, we just changed y into 20-2x. remember that we are multiplying all of 20 - 2x by -5
-100+10x = -6x + 12, we multiplied everything from the parathesis by -5
+100 + 100, eliminate -100
10x = -6x + 112
+6x +6x , eliminate 6x
16x = 112 , solve for x
x = 7
then y = 20 - 2x = 20 - 2*7 = 6
check:
2 * 7 + 6 = 20
20 = 20
-5 * 6 = -6 * 7 + 12
-30 = -42 + 12
-30 = -30
The area of a triangle is base x height x (1/2)
Plug in the values that are given.
Area = 10 x 12 x (1/2)
Area = 120 x (1/2)
Area = 60 in²
Hope this helps :)
Answer:
see below
Step-by-step explanation:
|4x−4(x+1)|=4
First simplify in the absolute value
Distribute
|4x−4x-4|=4
|-4|=4
Taking the absolute value
4 =4
This is always true
X is all real numbers
Pick any value for x and it will be a true statement
x=0
|4*0−4(*0+1)|=4
|-4|=4
Let x = 5
|4*5−4(5+1)|=4
|20−24|=4
|−4|=4
Is you substitute the x and y given in each of the points listed into the equation, the only correct answer is (0,0) or c