1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexandr1967 [171]
3 years ago
8

What is the answer using either the substitution method or elimination method

Mathematics
1 answer:
Sophie [7]3 years ago
8 0

To solve this problem, I am going to use the substitution method.  To do this, we use our first equation given (s=4r-1) and substitute this given value for s (4r-1) and substitute it into the second equation so that we have an equation with only one variable.  This is modeled below:

s = 4r - 1

6r - 5s = -23

6r - 5(4r-1) = -23

Now, we can solve this equation as we would any other equation, using the order of operations outlined by PEMDAS.  To begin, we will distribute the factor of -5 through the parentheses on the left side of the equation.

6r - 20r + 5 = -23

Next, we should combine like terms on the left side of the equation:

-14r + 5 = -23

Next, we should subtract 5 from both sides of the equation to get the variable term alone on the the left side of the equation.  We get:

-14r = -28

Finally, we should divide both sides by -14 to get the variable r alone on the left side of the equation.

r = 2

Now that we know that value for the variable r, we can substitute this value into one of our original equations (either one will work, but I am choosing to use the first one):

s = 4r - 1

s = 4(2) - 1

Now, we can find the value for s by using multiplication and then subtraction to simplify the right side of the equation.

s = 8-1

s = 7

Therefore, your answer is s = 7 and r = 2.

Hope this helps!

You might be interested in
Help me I dont understand this question ​
bezimeni [28]
Angle 1 & Angle 2 are ADJACENT ANGLES as they are both next to each other.
8 0
3 years ago
What is the length of DF?
uranmaximum [27]

Answer:

4a+6

Step-by-step explanation:

6 0
2 years ago
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest pleaseeeee !!!!!!
Dimas [21]

Answer:

2sqrt(10)

Step-by-step explanation:

Use the Pythagorean theorem.

x^2 + 3^2 = 7^2

x^2 + 9 = 49

x^2 = 40

x = sqrt(40)

x = 2sqrt(10)

7 0
3 years ago
What is a mathematical statement that two expressions are equal
natulia [17]
It is called an equation.
6 0
3 years ago
If the weight of a package is multiplied by 516 the result is 10 lbs. Find the
zysi [14]

Answer:

0.1937984496 lbs

Step-by-step explanation:

10 ÷ 516

7 0
2 years ago
Other questions:
  • the legth of a rectangle is three times its width. if the width is diminished by 1 m and the legth increased by 3 m, the area wi
    13·1 answer
  • What is the rate of change for 2y=5x+10
    15·1 answer
  • What is the measure of each exterior angle of a regular quadrilateral? a 45° b 360° c 180° d 90°
    7·1 answer
  • Simplify:<br> (2q/7^4)^4
    9·1 answer
  • Tell of 100 trays of 100 cookies is greater than, less than, or equal to 1,000?
    15·1 answer
  • Is this equation an infinite solution, no solution, or one solution?? 36-7x=-7(x-5) is
    8·1 answer
  • 510 visitors in 30 hours or 960 visitors in 60 hours, which is greater​
    6·2 answers
  • X+5y=5 3x-5y=3 Necesito ayuda, procedimiento para resolverlos y maneras distintas de resolverlos. Denuncio a quien venga por los
    8·1 answer
  • Please answer correctly and no links
    8·2 answers
  • Simplify -24/(-3)X(-4)​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!