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
dolphi86 [110]
2 years ago
14

What is the first step to solve the following system of equations using substitution?

Mathematics
1 answer:
Akimi4 [234]2 years ago
3 0

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Thus, option A) is true.

The solution to the system of equations be:

x = 4, y = 5

Step-by-step explanation:

It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.

Given the system of equations

x - y = -1

2x - y = 3

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

x-y=-1

Add y to both sides

x-y+y=-1+y

x=-1+y

Thus, option A) is true.

<u>NOW LET US SOLVE THE REMAINING PORTION</u>

\mathrm{Subsititute\:}x=-1+y to solve for y

\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}

-2+y=3

y=5

For x = -1 + y

substitute y = 5

x=-1+5

x=4

Thus, the solution to the system of equations be:

x = 4, y = 5

You might be interested in
1. 5 3/4 + 5/6 + 2 1/2<br> 2. 3 1/3 - (5 - 1 5/6)
andrey2020 [161]
Ok done. Thank to me :>

3 0
2 years ago
Given: X = r + 2, Y = 2r - 9, and Z = r 2 + 17r + 30. Simplify [X · Y - Z] ÷ X.
musickatia [10]

Answer: r - 24

Step-by-step explanation:

X=r+2;Y=2r-9;Z=r^2+17x+30

\frac{x*y-z}{x}

\frac{[(r+2)(2r-9)]-(r^2+17r+30)}{r+2}

\frac{(2r^2-9r+4r-18)-(r^2+17r+30)}{r+2}

\frac{(2r^2-5r-18)-(r^2+17r+30)}{r+2}

\frac{2r^2-5r-18-r^2-17r-30)}{r+2}

Combine like terms;

\frac{r^2-22r-48}{r+2}

Solve the quadratic equation;

\frac{(r-24)(r+2)}{r+2}

Simplify;

r-24

8 0
3 years ago
The speed s that Brent can ride his bike if he rides 3 − 5 of an hour and travels 4 miles is given by the equation 4 = 3 − 5 s.
alex41 [277]
His speed is 6 2/3 mi/hr.

Our equation is 4 = 3/5s; to solve this, we want to divide both sides by 3/5:

4 ÷ 3/5 = (3/5s) ÷ 3/5
4/1 ÷ 3/5 = s
4/1 × 5/3 = s
20/3 = s
6 2/3 = s
5 0
3 years ago
Read 2 more answers
Jeremy is making a healthy ice cream using only rip
Yakvenalex [24]

Answer:

18 tablespoons

Step By Step:

  • ratio is bananas/tablespoons
  • 5 bananas/3 tablespoons
  • 30 bananas/x tablespoons
  • how do we get from 5 to 30? multiply by 6. whatever we do to the top we do to the bottom, so multiply tablespoons but six as well
  • 30 bananas/18 tablespoons
3 0
3 years ago
Would You RATHER...
nekit [7.7K]
Question really depends on the persons mindset wether he/she likes to be rich or a middle person.
4 0
3 years ago
Other questions:
  • If two distinct lines intersect , what must be true ?
    13·2 answers
  • F(1)=-1.5 <br><br> f(n+1)=f(n)+0.5 <br><br> what is f(10)?
    7·1 answer
  • ANSWER???????????????????
    7·1 answer
  • I need help please hurryy!!
    13·1 answer
  • Identify the slope of the line for the equation y = −6x − 9.
    6·2 answers
  • Can someone help me w this pls
    12·2 answers
  • An account earns simple interest. Find the interest earned, principal, interest rate, or time: Interest earned: 10 Principal: $2
    7·1 answer
  • 1.
    11·1 answer
  • 1.39/48= 0.028958333 rounded
    5·1 answer
  • What’s the inverse of f(x)=(x+3)^3-1
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!