Answer: (-2,5)
Step 1: Rewrite equations
-3x+2y=16
x-2y=-12
Step 2: Changing the second equation
With substitution, you have to already have the equation to solve for the specific variable (ex: x=y+1;y=x+1). Since the equation doesn’t give us one, we can flip the second equation to give us this.
Let’s add 2y on both sides.
x-2y=-12
+2y +2y
_________
x=2y-12
Now we have the equation to solve for x!
Step 3: Substituting
Now we need to substitute x into the first equation. Let’s do this now.
-3(2y-12)+2y=16
Step 4: Solving for y
-3(2y-12)+2y=16
*distribute*
-6y+36+2y=16
*combine like terms*
-4y+36=16
*subtract 36 on both sides*
-4y=-20
*divide both numbers by -4*
y=5
This is y! Now we need to solve for x.
Step 5: Solving for x
To find x, let’s just substitute y into the equation and solve
x=2y-12
x=2(5)-12
x=10-12
x=-2
Step 6: Ordered pair
(X,y) —> (-2,5)
This is your answer! Hope this helps comment below for more questions :)
Answer:
Step-by-step explanation:
take 43 degree as reference angle
using tan rule
tan 43 = opposite / adjacent
0.93 = x / 56
x = 56/0.93
x = 60.21
x = 60.2
Answer:
she bought 7 books and 1 game. 1.)each=multiplication. 2.)and= addition.
Step-by-step explanation:
3.)26-5(the game)=21 divide by 3=7 books
4.)p-5=x divided by 3
Answer:
graph 1
Step-by-step explanation:
two points have the same X value
Answer:
b. Null: The population average VDAS score for early birds is the same as the population average VDAS score for night owls.
Alt: The population average VDAS scores are different for the two groups.
Step-by-step explanation:
Given
The above data
Required
Determine the null and alternate hypothesis
When looking out for the null hypothesis, only options with equality statements or equal sign should be selected as the null hypothesis.
i.e. statements like "equal to", "the same as", etc.
The alternate hypothesis will then contain inequalities or inequality statements
<em>From the list of options, only option (b) is correct.</em>
