How would i solve 4x-3y=8
5x-2y=-11

using the elimination method?
i'm in algebra 1 and we had a sub the day we were doing this and he was terrible explaining the situations on the worksheet. please explain

Answers

Answer 1
Answer: To use the elimination method, the coefficient of one variable in one equation must be the opposite number of the coefficient of the same variable in the second equation.

4x-3y=8 \n5x-2y=-11

Here you can multiply the first equation by 2, and the second equation by -3.

4x-3y=8 \ \ |\cdot 2 \n5x-2y=-11 \ \ |\cdot (-3) \n \n8x-6y=16 \n-15x+6y=33

Now you just add the equations by sides and solve for one variable.

8x-6y=16 \n \underline{-15x+6y=33 } \n8x-6y-15x+6y=16+33 \n8x-15x=16+33 \n-7x=49 \nx=-7

Now you solve for the other variable by substituting -7 for x in one of the equations.

4x-3y=8 \n4 \cdot (-7)-3y=8 \n-28-3y=8 \n-3y=8+28 \n-3y=36 \ny=-12

You could choose x at the beginning as well. Then you'd have:
4x-3y=8 \ \ |\cdot (-5)\n5x-2y=-11 \ \ |\cdot 4 \n \n-20x+15y=-40 \n\underline{20x-8y=-44 \ \ \ \ \ \ } \n-20x+15y+20x-8y=-40-44 \n15y-8y=-40-44 \n7y=-84 \ny=-12 \n \n4x-3y=8 \n4x-3 \cdot (-12)=8 \n4x+36=8 \n4x=8-36 \n4x=-28 \nx=-7

So the answer is:
x=-7 \n y=-12
Answer 2
Answer:

Answer:

x=-7 and y=-12

Step-by-step explanation:


Related Questions

In the quadratic equation x2 - 8x + a = 0; what is the value, a, in order to form a perfect square?A) 8 B) 16 C) 32 D) 64
PLEASE ANSWER QUICKLY! I WILL GIVE BRAINLIEST. What is 5/6 of 1/2?A. 5/12B. 6/12C. 5/8D. 6/8
What is the domain (in interval notation) of the following functions?1. g(x)=3/(5x-4)2. h(x)=√(x)/(x-5)3. f(x)=√(x)/(x^2-5x)4. g(x)=(√(x)+5)/(x^2-x-20)5. h(x)=3/(x^2+1)6. f(x)=(√(x-2))/(x+1)7. g(x)= x^2/(3x^2-x-28. h(x)=3(x-4)^2-7Number sets in parenthesis are either on top of or beneath the fraction bar and ^2 here represents a number squared.
if the sides of a square are increased by 3m,the area becomes 64m2. find the length of a side of the original square
What does B.O.D.M.A.S. or B.E.D.M.A.S. mean?

Two lines, A and B, are represented by the equations given below:Line A: x + y = 2
Line B: 2x + y = 4
Which statement is true about the solution to the set of equations?
There are infinitely many solutions.
There are two solutions.
There is one solution.
There is no solution.

Answers

If you would like to know which statement is true about the solution to the set of equations, you can calculate this using the following steps:

x + y = 2 ... y = 2 - x
2x + y = 4
_________________
2x + (2 - x) = 4
2x - x = 4 - 2
x = 2

y = 2 - x = 2 - 2 = 0

(x, y) = (2, 0)

The correct result would be: There is one solution.

Answer:

c

Step-by-step explanation:

Ronda Rollins gets a Social Security benefit of $350 per month. Her husband receives a benefit equal to 200 percent of Ronda's benefit. If they take an additional $400 per month from savings, what will their monthly income be?700
750
1,050
1,450

Answers

Answer

Find out the what will their monthly income be .

To proof

Let us assume that the their monthly income be x .

As given

Ronda Rollins gets a Social Security benefit of $350 per month

Her husband receives a benefit equal to 200 percent of Ronda's benefit.

If they take an additional $400 per month from savings .

200% written in the decimal form

= (200)/(100)

Than the equation becomes

x = 350 + 2* 350 + 400

x = 350 + 700 + 400

x= $1450

Therefore  monthly income be $1450 .

Option (D) is correct .

Hence proved

350+(2*350)+400=1450

Answer and maybe an explanation.Thanks in advance.

Answers

inverses

solve for x
replace x with f inverse
replace y with x



so
first minus 2 both sides
y-2=√(2x-3)
square both sides
y^2-4y+4=2x-3
add 3 to both sides
y^2-4y+7=2x
divide both sides y 2
(y^2-4y+7)/2=x

x turns to f inverse and y turns to x


f(x)⁻¹=(x^(2)-4x+7)/(2)


looks like they didn't want to expand the binomial

y=\frac{(x-2)^(2)}+3}{2}
answer si A

I have spent quite long on this but not able to solve it. Pls help ! Thanks!

Answers

Answer:

Adriana= $960

Tania= $1080

Step-by-step explanation:

Please see the attached pictures for the full solution.

• Do note that you could also use 'x' or other variables to represent the amount of money either Adriana or Tania brought for shopping. A unit was used in this case since I used model method to represent the given situation.

Please help me with this question

Answers

Here, 3/8 * 3/8 = 9/64

In short, Your Answer would be: 9/64

Hope this helps!
7 1/8 is you answer.

Hope this helped!!

Is 1/4 less than or greater than 1/8

Answers

If we divide the expressions and found in decimals then we found that 1/4 is greater than 1/8.

What is division?

Division is one of the four basic operations of arithmetic, it is the result of the number p/q. P/q can be found by dividing P by q.

How to divide number?

The given numbers are 1/4 and 1/8.

Value of 1/4=0.25

Value of 1/8=0.125

From the values we can conclude that 1/4 is greater than 1/8.

Hence we found that 1/4 is greater than 1/8.

Learn more about division at brainly.com/question/25289437

#SPJ2

To find this answer, you need to find a common denominator. A common denominator is when the number on the bottom of two fractions is the same. The easiest was to do this is to first multiply the two denominators, then multiply the numerator (or top number) by the opposite denominator. This sounds complicated, but it's pretty simple. Here's the equation written out. (I hope this helps!)

4*8 = denominator for both numbers.

8*1 = numerator for the first number

4*1 = numerator for the second number.

This should give you the fractions with common denominators, 8/32 and 4/32. Then, to compare the fractions, just see which numerator is larger. In this case, 8 is larger than 1 which shows that 1/4 is greater than 1/8.

I hope this made sense. There's more than one way to solve these problems, so comment below if you would like me to explain it differently and I'll get back to you as soon as I can!  :)