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
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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:
p = 4
Step-by-step explanation:
The usually recommended procedure for solving a proportion is to "cross multiply", then divide by the coefficient of the variable. (Solve the remaining one-step equation.)
<h3>Cross multiply</h3>
This means multiply both sides of the equation by the product of the denominators:
(15/6)(6p) = (10/p)(6p) . . . . "cross multiply"
15p = 60 . . . . . . simplify
<h3>Second step</h3>
Now, divide by the coefficient of the variable.
15p/15 = 60/15
p = 4
The solution is p = 4.
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<em>Additional comment</em>
If the variable is in the <em>numerator</em> of the proportion, using cross multiplication, you will find that you end up multiplying and dividing by the other denominator. To solve it in that case, you only need to multiply by the denominator under the variable.
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For example, to solve ...
2/5 = p/10
you only need to multiply by 10. You don't need to multiply by 50, then divide by 5.
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Any proportion can be written 4 ways:

This suggests another strategy: invert the whole proportion, then solve it as one with p in the numerator:
6/15 = p/10 ⇒ p = 10(6/15) = 4
Answer:
100
Step-by-step explanation:
In 17.92, the 7 is in the ones digit, so its value is 7.
In 92.17, the 7 is in the hundredth digit, so its value is 0.07
7 is 100 times 0.07
we are given that
f(x) is defined for all values of x except at x=c
Limit may or may not exist
case-1:
If there is hole at x=c , then limit exist
case-2:
If there is vertical asymptote at x=c , then limit does not exist
Examples:
case-1:

We can simplify it



so, we can see that limit exist and it's value defined
case-2:

Left limit is


Right Limit is


so, we can see that left limit is not equal to right limit
so, limit does not exist